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Chapter 5: Q3. (page 231)

. Model using algebra tiles.

Short Answer

Expert verified

The model is:

The product is $3 x^{2} + 6 x$ $3 x^{2} + 6 x$ .

Step by step solution

01

Step-1 – Given

The given expression is $3 x (x + 2)$ .

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.

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

• Draw lines to show the grid formed.

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

shows the polynomial $3 x^{2} + 6 x$ .

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 that $3 x (x + 2) = 3 x^{2} + 6 x$ .

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