Question

What is the quotient (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)?
x + 2
x – 2
x + 10
x + 6

Answer 1

Hello,

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) (Horner's method)

Answer 2

If you would like to solve (x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3), you can do this using the following steps:

(x^3 + 6x^2 + 11x + 6) / (x^2 + 4x + 3) = ((x + 1) * (x + 2) * (x + 3)) / ((x + 1) * (x + 3)) = x + 2

The correct result would be x + 2.