Chapter 7

Multiplying and Dividing Polynomials

Review

Checklist

Model multiplication of monomial times a monomial, or monomial times a binomial using algebra tiles or an area model.

Write a multiplication statement that represents an algebra tile model or an area model.

Model division of monomial by a monomial, or binomial by a monomial using algebra tiles or an area model.

Write a division statement that represents an algebra tile model or an area model.

Simplify expressions to find products and quotients without using models

Solve word problems involving polynomial multiplication or division.

Model multiplication of monomial times a monomial, or monomial times a binomial using algebra tiles or an area model.

Model -2x(3x -2) using both an area model and an algebra tile model

Algebra tile model

Area model

Write a multiplication statement that represents an algebra tile model or an area model.

Model division of monomial by a monomial, or binomial by a monomial using algebra tiles or an area model.

Model (4x2 + 8x) ÷ -2x using both an algebra model and an area model

Write a division statement that represents an algebra tile model or an area model.

4xy - 12x-4x

?

Simplify expressions to find products or quotients without using models

Simplify to find the products (show all steps using the distributive property)

a) 3x(-2x + 4)

b) (4.5x - 3)4x

Simplify to find the quotients (show all steps)

a) 15y2 - 12y3y

b) (-10x2 + 4x) ÷ -4x

The base of the parallelogram is 4x cm, the area of the parallelogram is (16x2 + 4x) cm2, find and expression for the height of the parallelogram

base

height

Remember...Area of parallelogram A = bh

Solve word problems involving polynomial multiplication or division.

The area of rectangle B is three times the area of rectangle A.

(3x + 2) cm

6x cm

A B

a) Write an expression to find represent the area of rectangle A.

The area of rectangle B is three times the area of rectangle A.

(3x + 2) cm

6x cm

A B

b) Determine the expression for the area of rectangle B.

The area of rectangle B is three times the area of rectangle A.

(3x + 2) cm

6x cm

A B

c) If the width of rectangle B is 8x find the length of rectangle B.