Question

1. use a factor table to calculate the polynomial product of $6y - 6$ and $2y^2 + 3y + 6$.
2. select a factor table with appropriate dimensions.

1x2
2x1
1x3
3x1
2x2
2x3
3x2
3x3

Explanation:

Step1: Choose factor table dimensions

The first polynomial $6y-6$ has 2 terms, the second $2y^2+3y+6$ has 3 terms, so use a 2x3 table.

Step2: Fill factor table with products

	$2y^2$	$3y$	$6$
$-6$	$-6 \times 2y^2 = -12y^2$	$-6 \times 3y = -18y$	$-6 \times 6 = -36$

Step3: Combine like terms

Combine $18y^2 - 12y^2 = 6y^2$, and $36y - 18y = 18y$.
$12y^3 + 6y^2 + 18y - 36$

Step4: Confirm table dimension match

The correct table is 2x3.

Answer:

Polynomial product: $12y^3 + 6y^2 + 18y - 36$
Correct table dimension: 2x3 (the corresponding 2x3 tile option)