Answer:
x + 2
Step-by-step 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
2x² + 8x + 6
0
Thus,
[tex]\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}[/tex]
