A polynomial of degree is such that

MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials

Problem

A polynomial

p(x)

of degree

3

is such that, on division by

x^{2}+1

, the quotient is

x+3

and the remainder is

ax+b

. If

p(1)=10

and

p(-1)=4

, determine the values of

a

and

b