Let g(x)=k x^ 3 +(k-3)x^ 2 -(k+3)x+2

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

g(x)=k x^{3}+(k-3)x^{2}-(k+3)x+2,

where

k

is a real number. (i) Given that

x-2

is a factor of

g(x)

, find the value of

k

. (ii) For the value of

k

obtained in part (i), factorise

g(x)

completely.