Let , where is a real…

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

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

, where

k

is a real constant. (i) If

x=1

is a zero of

p(x)

, find the value of

k

. (ii) Using the value of

k

obtained in part (i), find the remainder when

p(x)

is divided by

(x+2)

. (iii) For the same value of

k

, verify whether

x=-2

is a zero of

p(x)