Exploring Monomial and Polynomial Multiplication with Area Models

The video tutorial explains how to express the area of a rectangle as a trinomial by breaking it into three smaller rectangles. Each rectangle's area is calculated based on its height and width, with the first two widths expressed in terms of x and the last one as a constant. The tutorial guides through calculating the area of each rectangle and summing them to form a trinomial.

What is the height of all the smaller rectangles in the given problem?

• 4 units

• 3 units

• 2 units

• 5 units

What is the width of the first smaller rectangle?

• x^2

• x

• 3x

• 2

Tags

CCSS.8.EE.C.7B

How do you calculate the area of the first smaller rectangle?

• 4 * x

• 4 * 2

• 4 * 3x

• 4 * x^2

What is the width of the second smaller rectangle?

• x

• 2

• x^2

• 3x

Tags

CCSS.8.EE.C.7B

How do you calculate the area of the second smaller rectangle?

• 4 * x

• 4 * 2

• 4 * x^2

• 4 * 3x

What is the area of the second smaller rectangle?

• 16x

• 12x

• 8x

• 4x

What is the width of the third smaller rectangle?

• x

• x^2

• 3x

• 2

Tags

CCSS.8.EE.C.7B

What is the total area of the entire rectangle?

• 4x^2 + 8x + 4

• 4x^2 + 12x + 4

• 4x^2 + 8x + 12

• 4x^2 + 12x + 8