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root 6 plus root 6 till infinity is equal to
If α and β are the zeros of the quadratic polynomial f(x) = x2 - px + q, prove that a2/b2 + b2/a2 = p4/q2 - 4p2/q + 2
Given thatαandβare the zeroes of the quadratic polynomialf(x) =x2–px+q
If alpha and beta are zeroes of the polynomial x2 - 6x + a.Find the value of a if 3alpha + 2beta = 20
What Is Formula For Alpha minus Beta
(α-β)?
If alpha and beta are the zeros of polynomial x2 - 5x + k such that alpha-beta=1. find the value of k ......
If the polynomial x4 - 6x3 + 16x2 - 25x + 10 is divided by another polynomial x2 - 2x + k, the remainder comes out to be x + a, find the values of k and a.
If graph of a polynomial does not intersects the x-axis but intersectd y-axis in one point, then no. of zeroes of the polynomial is equal to
Find ' k ' so that ( x2+2x+k ) is a factor of ( 2x4 + x3 - 14x2 + 5x + 6 ). Also find all the zeroes of both the polynomials.
How can we find the HCF and LCM of 448, 1008 and 168 by using fundamental theorem of arithmetic ? . . . .
If one zero of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is negative of the other, find the value of k.
1. If one zero of the polynomial ( a2 + 9 ) x2 + 13x +6a is a reciprocal of the other, find the values of a. Also find the polynomial..
2. Factorise p(x) = x3 - 3x2 - 9x - 5 .
3. If a and b are the zeroes of the quadratic polynomial f (x) = x2 - p(x+1) - c, show that (a+1) (b+1) = 1 - c .
4. The polynomial ax3 + bx2 + x -6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2). Find 'a' and 'b' .
5. If the polynomial x4 - 6x3 + 16x2 - 25x +10 is divided by another polynomial x2 - 2x + k , the remainder comes out to be x+a . Find k and a .
6. Find the zeroes of the polynomial f(x) = x3 - 5x2 - 16x + 80 , if its two zeroes are equal in magnitude but opposite in sign.
If two zeroes of the polynomial p(x) = x4 - 6x3 -26x2 +138x -35 are 2 +root 3, find the other zeroes.
If alpha and beta are the zeroes of the polynomial f(x) = ax2+ bx + c, then evaluate
1)alpha2+ beta2
2)alpha/beta + beta/alpha
3)alpha3+ beta3
4)1/alpha3+ 1/beta3
5)alpha2/beta + beta2/alphaplease help mee...expert again don't post the similar question link the one u posted earlier was not at all the answer :(
a quadratic polynomial px2+qx+r has zeroes a &b . find the polynomial whose zeroes are 1/a & 1/b.
If alpha and beta are the zeroes of the quadratic polynomial f(x) = x2 - px + q, prove that alpha2/beta2 + beta2/alpha2 = p4/q2 - 4p2/q + 2.
Find all the zeros of 2x4-9x3+5x2+3x-1 if two its zeros are 2+ root 3, 2- root 3 pls answer with explanation
maximum how many number of zeros can a biquadratic polynomial have?
Formulae for alpha square plus beta square
If alpha and beta are the zeroes of the polynomial 21y2-y-2, find a quadratic polynomial whose zeroes are 2alpha and 2beta.
Given that root 2 is a zero of the cubic polynomial 6x3 + root2 x2 – 10x – 4 root2 , find
to draw the graph of a quadratic polynomial and observe
(i) the shape of the curve when the co-efficient ofx square is positive and (ii) same when its negative
If alpha and beta are zeros of a polynomial ax2+bx+c then evaluate alpha-beta.
If alpha and beta are zeros of quadratic polynomial f(x)=x2-2x+3 find polynomial whose roots are alpha+2,Beta+2
Given a2 + b2 = 1, c2 + d2 = 1, p2 + q2 = 1, where all numbers are real , then
If alpha and beta are the zeros of quadratic polynomal 2x2-5x+7 , find a polynomial whose zeros are 3alpha+2beta and 2alpha+3beta
Find the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.
If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b.
Given that x – root 5 is a factor of the cubic polynomial x3 – 3 root5x2 + 13x – 3 root5 ,
The number of positive integral solution of 2x + 3y = 763 is
1) 125
2) 126
3) 127
4) 128
Plz answer with explanation !!
Find the zeroes of the polynomial 4t2 - 5.
If sum of the square of zeros of the quadratic polynomial f(x)=x2-8x+k is 40 find the value of K
Reply it fast..
If p(x) = ax2+ bx + c, then c/a is equal to
If the zeroes of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b, then find 'a' and 'b'.
find the value of k for which the p(x)=x4+10x3+25x2+15x+k is exactly divisible by x+7. how to solve it?
If (x-k) is a factor of the polynomials x2 + px + q and x2 + mx + n, Prove that k = (n-q) / (m-p)
If alpha and beta are zeroes of polynomial 3x2 + 2x - 6 find the value of alpha-beta, alpha2+ beta2, alpha3+ beta3, and 1/alpha + 1/beta.
if d is the HCF of 45&27,find x,y satisfying d=27x+45y.
For each of the following, find a quadratic polynomial whose sum and product
If the squared difference of the zeros of the quadratic polynomial f(x) = x2 +px + 45 is equal to 144, find the value of p.
if the product of two of the zeroes of the polynomial 2x3-9x2+13x-6 is 2, the third zero of the polynomial is :-
if the zeroes of the polynomial x2 + px + q are double in value to the zeroes of 2x2 - 5x - 3 ,then find the value of p and q
If 1 is zero of the polynomial p(x) = ax2 - 3(a-1)x - 1, then the value of 'a' is
If a and b are zeroes of the polynomial x2- x - 6, then find a quadratic polynomial whose zeroes are (3a + 2b) and (2a + 3b)?
Pls give the answer as soon as possible...
What must be subtracted from the polynomial f(x) = x4 + 2x3 - 13x2 - 12x + 21 so that the resulting polynomial is exactly divisible by x2 - 4x + 3 ?
pls do it urgently
ppt project on polynomials
If one zero of a polynomial 3x2-8x+2k+1 is seven times the other. Find the value of k
find the zeroes of the cubic polynomial:
2x3-5x2-14x+8?
Verify the relationship between the zeroes and coefficient.
pl. provide the answers
if α and β are the zeros of the quadratic polynomial f(x) =ax2 +bx+c, then evaluate:
(i) α- β
(ii)=1/aα +b +1/a β+b
(iii) β/aα +b +α/a β+b
Obtain all the zeroes of the polynomial f(x)= 2x4-2x3-7x2+3x+6, if its two zeroes are√3/2 and -√3/2
a quadratic polynomial can have how many zeros?
A. at most 2 zeros
B. at least 2 zeros
C. only 1 zero
D. exactly 2 zeros
Find the zeroes of p(x) = root 3x2+ 10x + 7 root 3 & the relation between the zeroes and coefficient of the polynomial.
1) if a and b are the zeroes of the quadratic polynomial f(x)= x2-5x=4, find the value of 1/a+1/b+2ab.
2)find the zeroes of the quadratic polynomial 4root3x2+5x-2root3 and verify their relationship.
3)find all the integral zeroes of x3-3x2-2x+6
4) if (x-2) and (x-1/2) are the factors of the polynomials qx2+5x+r then prove that q=r
if alpha and beta are the zeros of polynomial f(x) = x2_5x+k such that alpha--beta = 1, then find k
is polynomial y4 + 4y2 + 5 have zeroes or not ?
If the polynomial 6x4 + 8x3- 5x2 + ax + +b is exactly divisible by the polynomial 2x2 - 5 , then find the value of a & b
Find the largest number which divides 71 and 126, leaving remainders 6 and 9 respectively.
if alpha and beta are zeroes of 2x^2+5x+k, satisfying alpha^2 + beta^2 +alpha beta=(21/4), find k
If ( x + 1 ) is factor of f(x) = a0xn + a1xn-1 ....... + an = 0, then
check whether 15^n can end with digit zero for any natural number n
If the polynomial f(x) = ax3 + bx - c is divisible by the polynomial g(x) = x2+bx+c, then ab =
a) 1 b) 1/c c) -1 d) -1/c
also, in the above question c =
a) b b) 2b c)2b2 d) -2b
a) b b) 2b c) 2b2 d) -2b
Find the zeroes of the polynomial 2x2+px-p2.
If alpha beta are roots of the polynomial f(x) = x2-px+q then Find value of
1) alpha2 + beta2
2) 1/alpha + 1/beta
3) alpha/beta + beta/alpha
If the remainder on division of x3 +2x2+kx+3 by x-3 is 21, find the quotient and the value of k.Hence find the zeros of the polynomial x3+2x2+kx-18
Obtain all the zeroes of x4 -7x3 + 17x2 - 17x + 6, if two of its zeroes are 3 and 1 ....??
if m and n are zeroes of the polynomial 3x2+11x-4.find the value of m/n +n/m
show that one and only out of n , n+2 , n+4 is divisible by 3. where n is a positive integer
if α, β are the roots of the quadratic polynomial p(x) = x2-(k-6)x+2(2k-1).Find the value of k,ifα+β = 1/2αβ.
Find a quadratic polynomial whose zeroes are 3+root 5 & 3-root5
ANSWER ASAP
if alfa and beta are the zeroes of of quadratic polynomial f(x)=x2-3x-2'find quadratic polynomial whose zeroes are 1/2alfa+beta and 1/2beta+alfa
1)if alpha and beta are the zeros of the polynomial x2 -6x +k,what is the value of k when 3 alpha + 2 beta =20
2)if alpha and beta are the zeros of the polynomial 2x2 +7x -3, then the value of 1/alpha +1/beta
3)the quadratic polynomial p(x) with -81 and 3 as product and one of the zeros respectively.what is the polynomial
4)if x+1 is a factor of 2x3 +ax2+2bx +1 find the values of a and b where 2a-3b=4
5)if one solution of the equation 3x2-8x+3k+1 is seven times the other find the soultions and the valure of k
6)if one zero of the polynomial(a2+4)x2 +13x +4a is the reciprocal of the other,find the value of 'a'
(7)if alpha and beta are the zeroes of the quadratic polynomial x2-(k+6)x + 2(2k-1),find k such that alpha + beta =1/2alphabeta
(8)find the values of a and b such that x4+x3+8x2+ax+b is divisible by x2+1
(9)when the polynomial 4x4-5x3-39x2-40x-2 wadivided by the polynomial g(x) the quotient and the remainder were x2-3x-5 and -3x+8 respectively.Find g(x).
find the zeroes of quadratic polynomial 4 root 3x square + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients
Find the square root of 10+√( 24)+√( 60)+√40
Angle between the minute hand of a clock and hour hand when the time is 7 : 20 am is :
Find the zeroes of the quadratic polynomial 6x2 - 7x - 3 and verify the relationship between the zeroes and the coefficients.
form a quadratic polynomial whose one zero is -15 and the sum of the zeros is 42
E.g: 9876543210, 01112345678
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Syllabus
root 6 plus root 6 till infinity is equal to
If α and β are the zeros of the quadratic polynomial f(x) = x2 - px + q, prove that a2/b2 + b2/a2 = p4/q2 - 4p2/q + 2
Given thatαandβare the zeroes of the quadratic polynomialf(x) =x2–px+q
If alpha and beta are zeroes of the polynomial x2 - 6x + a.Find the value of a if 3alpha + 2beta = 20
What Is Formula For Alpha minus Beta
(α-β)?
If alpha and beta are the zeros of polynomial x2 - 5x + k such that alpha-beta=1. find the value of k ......
If the polynomial x4 - 6x3 + 16x2 - 25x + 10 is divided by another polynomial x2 - 2x + k, the remainder comes out to be x + a, find the values of k and a.
If graph of a polynomial does not intersects the x-axis but intersectd y-axis in one point, then no. of zeroes of the polynomial is equal to
Find ' k ' so that ( x2+2x+k ) is a factor of ( 2x4 + x3 - 14x2 + 5x + 6 ). Also find all the zeroes of both the polynomials.
How can we find the HCF and LCM of 448, 1008 and 168 by using fundamental theorem of arithmetic ? . . . .
If one zero of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is negative of the other, find the value of k.
1. If one zero of the polynomial ( a2 + 9 ) x2 + 13x +6a is a reciprocal of the other, find the values of a. Also find the polynomial..
2. Factorise p(x) = x3 - 3x2 - 9x - 5 .
3. If a and b are the zeroes of the quadratic polynomial f (x) = x2 - p(x+1) - c, show that (a+1) (b+1) = 1 - c .
4. The polynomial ax3 + bx2 + x -6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2). Find 'a' and 'b' .
5. If the polynomial x4 - 6x3 + 16x2 - 25x +10 is divided by another polynomial x2 - 2x + k , the remainder comes out to be x+a . Find k and a .
6. Find the zeroes of the polynomial f(x) = x3 - 5x2 - 16x + 80 , if its two zeroes are equal in magnitude but opposite in sign.
(A) 7
(B) 14
(C) 21
(D) 6
If two zeroes of the polynomial p(x) = x4 - 6x3 -26x2 +138x -35 are 2 +root 3, find the other zeroes.
If alpha and beta are the zeroes of the polynomial f(x) = ax2+ bx + c, then evaluate
1)alpha2+ beta2
2)alpha/beta + beta/alpha
3)alpha3+ beta3
4)1/alpha3+ 1/beta3
5)alpha2/beta + beta2/alpha
please help mee...
expert again don't post the similar question link the one u posted earlier was not at all the answer :(
a quadratic polynomial px2+qx+r has zeroes a &b . find the polynomial whose zeroes are 1/a & 1/b.
If alpha and beta are the zeroes of the quadratic polynomial f(x) = x2 - px + q, prove that alpha2/beta2 + beta2/alpha2 = p4/q2 - 4p2/q + 2.
(i) -b/a (ii) c/a (iii) b/c (iv) none of these
Find all the zeros of 2x4-9x3+5x2+3x-1 if two its zeros are 2+ root 3, 2- root 3 pls answer with explanation
maximum how many number of zeros can a biquadratic polynomial have?
Formulae for alpha square plus beta square
If alpha and beta are the zeroes of the polynomial 21y2-y-2, find a quadratic polynomial whose zeroes are 2alpha and 2beta.
Given that root 2 is a zero of the cubic polynomial 6x3 + root2 x2 – 10x – 4 root2 , find
to draw the graph of a quadratic polynomial and observe
(i) the shape of the curve when the co-efficient ofx square is positive and (ii) same when its negative
If alpha and beta are zeros of a polynomial ax2+bx+c then evaluate alpha-beta.
If alpha and beta are zeros of quadratic polynomial f(x)=x2-2x+3 find polynomial whose roots are alpha+2,Beta+2
Given a2 + b2 = 1, c2 + d2 = 1, p2 + q2 = 1, where all numbers are real , then
If alpha and beta are the zeros of quadratic polynomal 2x2-5x+7 , find a polynomial whose zeros are 3alpha+2beta and 2alpha+3beta
Find the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.
If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b.
Given that x – root 5 is a factor of the cubic polynomial x3 – 3 root5x2 + 13x – 3 root5 ,
The number of positive integral solution of 2x + 3y = 763 is
1) 125
2) 126
3) 127
4) 128
Plz answer with explanation !!
Find the zeroes of the polynomial 4t2 - 5.
If sum of the square of zeros of the quadratic polynomial f(x)=x2-8x+k is 40 find the value of K
Reply it fast..
If p(x) = ax2+ bx + c, then c/a is equal to
If the zeroes of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b, then find 'a' and 'b'.
find the value of k for which the p(x)=x4+10x3+25x2+15x+k is exactly divisible by x+7. how to solve it?
If (x-k) is a factor of the polynomials x2 + px + q and x2 + mx + n, Prove that k = (n-q) / (m-p)
If alpha and beta are zeroes of polynomial 3x2 + 2x - 6 find the value of alpha-beta, alpha2+ beta2, alpha3+ beta3, and 1/alpha + 1/beta.
if d is the HCF of 45&27,find x,y satisfying d=27x+45y.
For each of the following, find a quadratic polynomial whose sum and product
If the squared difference of the zeros of the quadratic polynomial f(x) = x2 +px + 45 is equal to 144, find the value of p.
if the product of two of the zeroes of the polynomial 2x3-9x2+13x-6 is 2, the third zero of the polynomial is :-
if the zeroes of the polynomial x2 + px + q are double in value to the zeroes of 2x2 - 5x - 3 ,then find the value of p and q
If 1 is zero of the polynomial p(x) = ax2 - 3(a-1)x - 1, then the value of 'a' is
If a and b are zeroes of the polynomial x2- x - 6, then find a quadratic polynomial whose zeroes are (3a + 2b) and (2a + 3b)?
Pls give the answer as soon as possible...
What must be subtracted from the polynomial f(x) = x4 + 2x3 - 13x2 - 12x + 21 so that the resulting polynomial is exactly divisible by x2 - 4x + 3 ?
pls do it urgently
ppt project on polynomials
If one zero of a polynomial 3x2-8x+2k+1 is seven times the other. Find the value of k
find the zeroes of the cubic polynomial:
2x3-5x2-14x+8?
Verify the relationship between the zeroes and coefficient.
pl. provide the answers
if α and β are the zeros of the quadratic polynomial f(x) =ax2 +bx+c, then evaluate:
(i) α- β
(ii)=1/aα +b +1/a β+b
(iii) β/aα +b +α/a β+b
Obtain all the zeroes of the polynomial f(x)= 2x4-2x3-7x2+3x+6, if its two zeroes are√3/2 and -√3/2
a quadratic polynomial can have how many zeros?
A. at most 2 zeros
B. at least 2 zeros
C. only 1 zero
D. exactly 2 zeros
Find the zeroes of p(x) = root 3x2+ 10x + 7 root 3 & the relation between the zeroes and coefficient of the polynomial.
1) if a and b are the zeroes of the quadratic polynomial f(x)= x2-5x=4, find the value of 1/a+1/b+2ab.
2)find the zeroes of the quadratic polynomial 4root3x2+5x-2root3 and verify their relationship.
3)find all the integral zeroes of x3-3x2-2x+6
4) if (x-2) and (x-1/2) are the factors of the polynomials qx2+5x+r then prove that q=r
if alpha and beta are the zeros of polynomial f(x) = x2_5x+k such that alpha--beta = 1, then find k
is polynomial y4 + 4y2 + 5 have zeroes or not ?
If the polynomial 6x4 + 8x3- 5x2 + ax + +b is exactly divisible by the polynomial 2x2 - 5 , then find the value of a & b
pls do it urgently
Find the largest number which divides 71 and 126, leaving remainders 6 and 9 respectively.
if alpha and beta are zeroes of 2x^2+5x+k, satisfying alpha^2 + beta^2 +alpha beta=(21/4), find k
If ( x + 1 ) is factor of f(x) = a0xn + a1xn-1 ....... + an = 0, then
check whether 15^n can end with digit zero for any natural number n
a) both negative b) one positive one negative
c) both positive d) both equal
explain the ans with solution plzzzzzzzzzzz
If the polynomial f(x) = ax3 + bx - c is divisible by the polynomial g(x) = x2+bx+c, then ab =
a) 1 b) 1/c c) -1 d) -1/c
also, in the above question c =
a) b b) 2b c)2b2 d) -2b
a) b b) 2b c) 2b2 d) -2b
Find the zeroes of the polynomial 2x2+px-p2.
If alpha beta are roots of the polynomial f(x) = x2-px+q then Find value of
1) alpha2 + beta2
2) 1/alpha + 1/beta
3) alpha/beta + beta/alpha
If the remainder on division of x3 +2x2+kx+3 by x-3 is 21, find the quotient and the value of k.Hence find the zeros of the polynomial x3+2x2+kx-18
Obtain all the zeroes of x4 -7x3 + 17x2 - 17x + 6, if two of its zeroes are 3 and 1 ....??
if m and n are zeroes of the polynomial 3x2+11x-4.find the value of m/n +n/m
-3/2root5 , -1/2
show that one and only out of n , n+2 , n+4 is divisible by 3. where n is a positive integer
I am not understand this answer given in the
if α, β are the roots of the quadratic polynomial p(x) = x2-(k-6)x+2(2k-1).Find the value of k,ifα+β = 1/2αβ.
Find a quadratic polynomial whose zeroes are 3+root 5 & 3-root5
ANSWER ASAP
if alfa and beta are the zeroes of of quadratic polynomial f(x)=x2-3x-2'find quadratic polynomial whose zeroes are 1/2alfa+beta and 1/2beta+alfa
1)if alpha and beta are the zeros of the polynomial x2 -6x +k,what is the value of k when 3 alpha + 2 beta =20
2)if alpha and beta are the zeros of the polynomial 2x2 +7x -3, then the value of 1/alpha +1/beta
3)the quadratic polynomial p(x) with -81 and 3 as product and one of the zeros respectively.what is the polynomial
4)if x+1 is a factor of 2x3 +ax2+2bx +1 find the values of a and b where 2a-3b=4
5)if one solution of the equation 3x2-8x+3k+1 is seven times the other find the soultions and the valure of k
6)if one zero of the polynomial(a2+4)x2 +13x +4a is the reciprocal of the other,find the value of 'a'
(7)if alpha and beta are the zeroes of the quadratic polynomial x2-(k+6)x + 2(2k-1),find k such that alpha + beta =1/2alphabeta
(8)find the values of a and b such that x4+x3+8x2+ax+b is divisible by x2+1
(9)when the polynomial 4x4-5x3-39x2-40x-2 wadivided by the polynomial g(x) the quotient and the remainder were x2-3x-5 and -3x+8 respectively.Find g(x).
find the zeroes of quadratic polynomial 4 root 3x square + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients
Find the square root of 10+√( 24)+√( 60)+√40
Angle between the minute hand of a clock and hour hand when the time is 7 : 20 am is :
Find the zeroes of the quadratic polynomial 6x2 - 7x - 3 and verify the relationship between the zeroes and the coefficients.
form a quadratic polynomial whose one zero is -15 and the sum of the zeros is 42