Consider the polynomial .

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

Problem

Consider the polynomial

p(x)=3x^{3}-4x^{2}-7x+10

. (i) Calculate

p(2)

. (ii) Using your result in part (i), determine whether

(x-2)

is a factor of

p(x)

. (iii) State your conclusion clearly, giving a brief reason.