Let . Three linear expressions are proposed as possible factors of : , and…

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

p(x)=2x^{4}-3x^{3}-11x^{2}+12x+36

. Three linear expressions are proposed as possible factors of

p(x)

(x+2)

(x-3)

and

(x-4)

. (i) Find the values

p(-2)

p(3)

and

p(4)

. (ii) From your results, identify which of the given linear expressions, if any, are factors of

p(x)

. (iii) For every factor you have identified, write the corresponding zero of the polynomial.