Consider the cubic polynomial

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

g(x)=3x^{3}+ax^{2}+bx+4

. (i) The remainder obtained on dividing

g(x)

x-1

7

. Form an equation involving

a

and

b

. (ii) The remainder obtained on dividing

g(x)

x+2

-5

. Form a second equation involving

a

and

b

. (iii) Solve the simultaneous equations from parts (i) and (ii) to find the numerical values of

a

and

b

. (iv) Using the values of

a

and

b

, determine the remainder when

g(x)

is divided by

x-3