Name __________________
Date ______
Algebra I
Unit 8 Day 2 Multiplying and Dividing Polynomials
 Today we will learn how to multiply and divide polynomials.
 By the end of class you will be able to multiply and divide polynomials.
Warm Up
Perform the given operation.
1) (10x2 – 3x + 4) + (14x – 5)
2) (11x3 + 4x2 – 7x + 9) – (-x2 + 3x + 6)
Multiplying Polynomials
Use the distributive property to multiply by a ________________.
3(x + 2)
x(x – 2)
5(x 2 - 2x + 6)
2x(6x 2 + x – 7)
Distribute _____________ when multiplying a binomial by a binomial. Remember to
combine ___________ terms.
(x + 3) (x + 6)
(x + 5) (x – 2)
(x + 5)2
(4x – 3)2
Special Products
(x + 9) (x – 9)
(x + 7) (x – 7)
(3x + 4) (3x – 4)
(5x – 4) (5x + 4)
Multiplying a Trinomial by a Binomial
(3x + 1) (x2 – 5x + 4)
(2x + 1) (x2 + 3x + 6)
Dividing Polynomials
(4x + 10) ÷ 2
(15x + 9) ÷ 3
4 x 2  12 x  20
4
6 x 3 8 x  2
2
5 x 3 10 x 2  20 x
5x
x≠0
6 x 3 14 x 2  8 x
2x
x≠0
Word Problems
The dimensions of a rectangle are x + 3 and x + 2. What expression represents the perimeter of
the rectangle?
The perimeter of the rectangle is 50 inches. Find the dimensions.
What expression represents the area of the rectangle?
The area of a rectangle can be represented by the expression 6x3 + 9x2 + 12x with the width
represented by the expression 3x. What is the expression that represents the length?