how many zeroes can a polynomial of degree n have?

A polynomial of degree n can have at most n real zeros.

  • 10

A polynomialof degree n can have atmost n number of zeroes.

For example if n = 3, then the polynomial will have atmost 3 zeroes

if n = 2, then the polynomial will have atmost 2 zeroes.

Hope this answers your question :)

  • 10

Apolynomial of degree n can have at the most n zeroes.....

For convience of understanding (i)Let n = 5 , in this case the polynomial can have 5 zeros or less than 5 zeroes i.e 4,3,2,1number of zeroes. In this case the polynomial can be 9x5 + 5a4 + 10y3 + 12z2 + 8k1 + 25s0

(ii) Let n =2, in this case this is a quadatic polynomial with 2 zeros or less than 2 zeroes i.e 1 zero. In this case the polynomial can be 26x2 + 45y +87

Hope this helped you

  • 1
How many zeros of a polynomial of degree n can have
  • 0
What are you looking for?