Question

(1 + 6x^3 + 4x^2 - 6x)(-4x - 3)

	-4x	-3
6x^3	-24x^4	-18x^3
4x^2	-16x^3	-12x^2
-6x	24x^2	18x

correct! now write the simplified answer in the box below.

Explanation:

Step1: Combine like terms from the table

First, list all the terms from the table: \(-4x\), \(-3\), \(-24x^4\), \(-18x^3\), \(-16x^3\), \(-12x^2\), \(24x^2\), \(18x\).

Step2: Combine the \(x^3\) terms

\(-18x^3 - 16x^3 = -34x^3\)

Step3: Combine the \(x^2\) terms

\(-12x^2 + 24x^2 = 12x^2\)

Step4: Combine the \(x\) terms

\(-4x + 18x = 14x\)

Step5: Combine all terms together

Now, put all the terms in order of descending powers of \(x\): \(-24x^4 - 34x^3 + 12x^2 + 14x - 3\)

Answer:

\(-24x^4 - 34x^3 + 12x^2 + 14x - 3\)