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Chapter 5: Q3. (page 231)

. Model using algebra tiles.

Short Answer

Expert verified

The model is:

The product is3x2+6x3x2+6x.

Step by step solution

01

Step-1 – Given

The given expression is3x(x+2) .

02

Step-2 – To determine

We have to model the given expression.

03

Step-3 – Calculation

Use an x tile and a 1 tile to mark off a length equal to x + 2 along the top.

鈥� Use the tiles to mark off a length equal to 3x along the side.

鈥� Draw lines to show the grid formed.

鈥� Fill in the lines with the appropriate tiles to show the area product. The model

shows the polynomial3x2+6x .

The area of the rectangle is the product of its length and width. Substituting for the length, width, and area with the corresponding polynomials, we find that3x(x+2)=3x2+6x.

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