Q3. - Algebra 2

Question

. Model  using algebra tiles.

Step-by-Step Solution

Answer

The model is:

The product is$3x^2+6x$$3x^2+6x$ .

Step-1 – Given

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

Step-2 – To determine

We have to model the given expression.

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$3x^2+6x$ .

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 that$3x(x+2)=3x^2+6x$ .