A polynomial is divided by and the remainder is

MATHEMATICS · Single correct · CBSE · Mathematics · Polynomials · Polynomials

Problem

A polynomial

f(x)

is divided by

x^{2}+2x+3

and the remainder is

0

. Which of the following statements must be true? (a) The quotient of the division must be linear. (b)

x^{2}+2x+3

is a factor of

f(x)

. (c)

f(-1)=0

. (d)

f(x)

must be a quadratic polynomial.