Question

use a factor table to calculate the polynomial product of $-6w^2$ and $4w + 7$.
select a factor table with appropriate dimensions.
1x2
2x1
1x3
3x1
2x2
2x3
3x2
3x3

Explanation:

Step1: Identify factor terms

First factor: $-6w^2$ (1 term), second factor: $4w+7$ (2 terms)

Step2: Match table dimensions

A factor table for 1 term × 2 terms uses a 1×2 layout.

Step3: Calculate polynomial product

Apply distributive property:
$$-6w^2(4w) + (-6w^2)(7)$$
$$=-24w^3 -42w^2$$

Answer:

1. Selected table: 1×2
2. Polynomial product: $\boldsymbol{-24w^3 -42w^2}$