Question

(-2x^2 - 6x + 4)(-x - 2)

	-x	-2
-6x	6x^2	12x
4	-4x	-8

! now write the simplified answer in the box below.

Explanation:

Step1: Combine like terms for \(x^3\)

Only \(2x^3\) exists, so \(x^3\) term is \(2x^3\).

Step2: Combine like terms for \(x^2\)

Terms are \(4x^2\) and \(6x^2\). Sum: \(4x^2 + 6x^2 = 10x^2\).

Step3: Combine like terms for \(x\)

Terms are \(12x\) and \(-4x\). Sum: \(12x - 4x = 8x\).

Step4: Combine constant terms

Only \(-8\) exists, so constant term is \(-8\).

Step5: Combine all terms

\(2x^3 + 10x^2 + 8x - 8\).

Answer:

\(2x^3 + 10x^2 + 8x - 8\)