CBSE

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

Problem

Let

f(x)=x^{3}+ax^{2}+bx+c

. (i) Write, in terms of

a, b

and

c

, the remainder obtained when

f(x)

is divided by each of the following: (a)

(x-1)

(b)

(x+2)

(c)

(x-3)

. (ii) Given that the remainders in part (i) are

6

-5

and

12

respectively, form three equations in

a, b

and

c

and hence determine their values. (iii) Using the values of

a, b

and

c

found in part (ii), find the remainder when

f(x)

is divided by

(x+1)