Question

What is the quotient (x^3+6x^2+11x+6) •/• (x^2+4x+3)?

A. x+2
B. x-2
C. x+10
D. x+6

Answer 1

Answer A

x²+4x+3=(x+3)(x+1)

x^3+6x²+11x+6=(x+1)(x²+5x+6)

x²+5x+6=(x+2)(x+3)

so

x^3+6x²+11x+6=(x+1)(x+2)(x+3)

Explanation:

Answer 2

(x^3+6x^2+11x+6) •/• (x^2+4x+3) = x+2

double check
(x^2+4x+3) (x+2)
= x^3 + 4x^2 + 3x + 2x^2 +8x+ 6
=x^3 +6x^2 +11x +6

so answer is A. x+2