Question

use the box method to distribute and simplify $(6x^2 + 6x - 5)(x - 2)$. drag and drop the terms to the correct locations of the table. $(6x^2 + 6x - 5)(x - 2)$ rows: 3 columns: 2 answer attempt 1 out of 2 you must answer all questions above in order to submit.

Explanation:

Step1: Set up box table

Rows: $6x^2, 6x, -5$; Columns: $x, -2$

Step2: Multiply row/column terms

First column: $6x^2 \cdot x = 6x^3$, $6x \cdot x = 6x^2$, $-5 \cdot x = -5x$
Second column: $6x^2 \cdot (-2) = -12x^2$, $6x \cdot (-2) = -12x$, $-5 \cdot (-2) = 10$

Step3: Combine like terms

$6x^3 + (6x^2 -12x^2) + (-5x -12x) +10 = 6x^3 -6x^2 -17x +10$

Answer:

The simplified form is $6x^3 - 6x^2 - 17x + 10$
The box table entries are:

$6x^2$	$6x$	$-5$
$-12x^2$	$-12x$	$10$