Question

use the box method to distribute and simplify $(-4 - 4x^2 + 3x)(5x - 4)$. drag and drop the terms to the correct locations of the table.
$(-4 - 4x^2 + 3x)(5x - 4)$

	$-4$	$-4x^2$	$3x$
$-4$	$16$	$16x^2$	$-12x$

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

Explanation:

Step1: Combine like terms

First, identify the terms from the box method: \(-20x^3\), \(15x^2 + 16x^2\), \(-20x - 12x\), and \(16\).
For the \(x^2\) terms: \(15x^2 + 16x^2 = 31x^2\)
For the \(x\) terms: \(-20x - 12x = -32x\)

Step2: Write the simplified polynomial

Now, combine all the terms in order of descending powers of \(x\): \(-20x^3 + 31x^2 - 32x + 16\)

Answer:

\(-20x^3 + 31x^2 - 32x + 16\)