Source: Previous Question Papers

Find the quotient and the remainder when the polynomial (x3+2x2x2)(x^{3}+2x^{2}-x-2) is divided by (x+2)(x+2). Choose the correct alternative.

Options

Option A

Quotient =(x2+1)(x^{2}+1) R=1

Option B

Quotient =(x21)(x^{2}-1) R=2

Option C is correct

Quotient =(x21)(x^{2}-1) R=0

Option D

Quotient =(x2+x1)(x^{2}+x-1) R=0