Let p(x)=x^ 3 +(k-5)x^ 2 +(k-2)x+4

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

Let

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

where

k

is a real number. (i) If

x=1

is a zero of

p(x)

, determine the value of

k

. (ii) For the value of

k

obtained in part (i), factorise

p(x)

completely and write down all its real zeros.