Question

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first?

x^2
-----------------------------------
x + 2 ) x^3 + 3x^2 + x


A. x + 3
B. x^2 + x + 2
C. x^3 + 2x^2
D. x2 + 3x

Answer 1

Option C: x^3 + 2x^2

This is the result of the multiplication of the first term of the quotient (x^2) times the divisor (x + 2).

Answer 2

Option C. x³ + 2x²

Explanation:

In this long division x + 2 ) x³ + 3x² + x

when we divide the polynomial by (x + 2) then first quotient will be x². By the multiplication of (x + 2) and x² we get a polynomial which will be subtracted from the dividend.

(x + 2)×(x²) = x³ + 2x²

This is the polynomial to be subtracted.

Therefore option C is the correct answer.