Question

use the box method to distribute and simplify $(-2x^2 - 6x + 4)(-x - 2)$. drag and drop the terms to the correct locations of the table. $(-2x^2 - 6x + 4)(-x - 2)$ rows: columns:

Explanation:

Step1: Set up box dimensions

The first polynomial $(-2x^2 -6x +4)$ has 3 terms (rows), the second $(-x -2)$ has 2 terms (columns). So Rows = 3, Columns = 2.

Step2: Fill box with products

	$-x$	$-2$
$-6x$	$(-6x)(-x)=6x^2$	$(-6x)(-2)=12x$
$+4$	$(4)(-x)=-4x$	$(4)(-2)=-8$

Step3: Combine like terms

$2x^3 + (4x^2+6x^2) + (12x-4x) -8$
$=2x^3 +10x^2 +8x -8$

Answer:

Box Setup:

Rows: 3, Columns: 2

Completed Box:

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

Simplified Result:

$2x^3 + 10x^2 + 8x - 8$