# 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

2 answers

###### 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

A. x+2

B. x-2

C. x+10

D. x+6

## Answers

(x^3+6x^2+11x+6) •/• (x^2+4x+3) = x+2double check(x^2+4x+3) (x+2) = x^3 + 4x^2 + 3x + 2x^2 +8x+ 6=x^3 +6x^2 +11x +6so answer is A. x+2

Answer: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)Step-by-step explanation:

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