A polynomial is divided by a quadratic polynomial to give the quotient and the remainder

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

Problem

A polynomial

2x^4 + 5x^2 + 4x + 1

is divided by a quadratic polynomial

d(x)

to give the quotient

2x^2 + 3

and the remainder

4x - 2

. Determine

d(x)

. (a)

x^{2}+2

(b)

x^{2}+2x+1

(c)

x^{2}+1

(d)

x^{2}-1