Find the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.
Answer:
Let our Zeros are And And
Given
+ = -3
And
= 2
And our polynomial is As:
( x - ) ( x - ) = 0
( x2 - x - x + ) = 0
x2 - ( + ) x + = 0
Substitute value we get
x2 + 3x + 2 = 0
Now we can find its zeros by splitting the middle term method As:
x2 + 2x + x + 2 = 0
x ( x + 2 ) +1 ( x + 2 ) = 0
( x + 1 ) ( x + 2 ) = 0
So zeros are
= -1
And
= -2 ( Ans )
Let our Zeros are And And
Given
+ = -3
And
= 2
And our polynomial is As:
( x - ) ( x - ) = 0
( x2 - x - x + ) = 0
x2 - ( + ) x + = 0
Substitute value we get
x2 + 3x + 2 = 0
Now we can find its zeros by splitting the middle term method As:
x2 + 2x + x + 2 = 0
x ( x + 2 ) +1 ( x + 2 ) = 0
( x + 1 ) ( x + 2 ) = 0
So zeros are
= -1
And
= -2 ( Ans )