Question

GCF factoring introduction

Answer 1

Answer:

16

Step-by-step explanation:

Answer 2

Answer:

$\large \boxed{x^{2} + 5x - 4}$

Step-by-step explanation:

One way to make an area model for this question is:

• Divide a rectangle into three parts.  
• Write the common factor on the left-hand side.
• Write one term of the polynomial in each box.

The area of each box is

A = lw. Then,

w = A/l

To get the width of each box, we divide its area by its length — the common factor, 4.

For the green box,  w = 4x²/4 = x²

For the brown box, w = 20x/4 =       5x

For the yellow box, w = -16/4  =             - 4  

For the whole rectangle,     w = x² + 5x - 4  

$\text{The width of their area model is \large \boxed{\mathbf{x^{2} + 5x - 4}} }.$