Question

1. $(3x^3 - 5x^2 - 6x + 2) div (x + 1)$

Explanation:

Step1: Remove parentheses

$3x^2 - 5x^2 - 6x + 2 + x + 1$

Step2: Combine like $x^2$ terms

$(3-5)x^2 - 6x + 2 + x + 1 = -2x^2 - 6x + 2 + x + 1$

Step3: Combine like $x$ terms

$-2x^2 + (-6+1)x + 2 + 1 = -2x^2 -5x + 2 + 1$

Step4: Combine constant terms

$-2x^2 -5x + (2+1) = -2x^2 -5x + 3$

Answer:

$-2x^2 -5x + 3$