Question

select a factor table with appropriate dimensions.
1x2
2x1
1x3
3x1
2x2
2x3
3x2
3x3
enter each expressions terms as headings in the table. then enter the product of each pair of terms.
$4w+7$
$4w$
$-6w^2$

Explanation:

Step1: Choose table dimensions

The first expression $4w+7$ has 2 terms, the second set of terms $-6w^2, 4w$ has 2 terms. So a $2 \times 2$ table is needed.

Step2: Fill table headings

Place $4w, 7$ as row headings, $-6w^2, 4w$ as column headings.

Step3: Calculate first product

Multiply $4w$ and $-6w^2$:
$4w \times (-6w^2) = -24w^3$

Step4: Calculate second product

Multiply $4w$ and $4w$:
$4w \times 4w = 16w^2$

Step5: Calculate third product

Multiply $7$ and $-6w^2$:
$7 \times (-6w^2) = -42w^2$

Step6: Calculate fourth product

Multiply $7$ and $4w$:
$7 \times 4w = 28w$

Answer:

1. Selected table: 2x2
2. Completed factor table:

	$-6w^2$	$4w$
$7$	$-42w^2$	$28w$