Consider the polynomial

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

f(x)=x^{4}+ax^{3}-6x+2

. (i) Given that

f(1)=8

, determine the value of

a

. (ii) Using the value of

a

obtained in part (i), calculate the remainder when

f(x)

is divided by

(x+2)