2 Answers

Nyxthulhu · Answer 1 · 2021-01-18T04:23:38+0000

Answer:

x + 2

Explanation:

If we know one of the factors, we should be able to use long division.

We can divide the trinomial by the binomial and find the other factor.

x + 2

x² + 4x + 3)x³ + 6x² + 11x + 6

x³ + 4x² + 3x

2x² + 8x + 6

0

Thus,

$\frac{x^(3) + 6x^2 + 11x + 6} {x^(2) + 4x + 3} = \mathbf{x + 2}$

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