Consider the polynomial .

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

Problem

Consider the polynomial

p(x)=2x^{3}-5x^{2}-4x+3

. (i) State the Factor Theorem. (ii) Verify whether

x=3

is a zero of

p(x)

. (iii) Using your result from part (ii), determine whether

(x-3)

is a factor of

p(x)

and justify your answer.