Let be divided by a quadratic polynomial of degree

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

Problem

Let

f(x)

be divided by a quadratic polynomial

g(x)

of degree

2

, giving quotient

q(x)

and remainder

r(x)

. Which of the following is always true? (a)

\deg r(x)=1

(b)

\deg r(x)=2

(c)

\deg r(x) < 2

(d)

r(x)

is always a constant (degree

0

)