Question

if 2 and -2 are zeroes of polynomial p(x)= px^4+2x^3+qx-4. find the value of p and q.
this question from class 9 maths lesson 2 polynomial.
please answer this question immediately. ​

Answer 1

Answer:

The zeroes of a polynomial can be used to find the factors of the polynomial.

The zeroes in this question are 2 and -2, therefore the polynomial can be factored out

p(x) = p(x-2)(x+2)+4

Factorising this out,

p(x) = px^2 - 4px + 4q

Comparing the coefficients on both sides of the equation,

p=1 and q=1.