Multiplying Polynomials by a Monomial

1
Lesson 8-6

• Multiplying Polynomials by a Monomial

2
Transparency 6
Click the mouse button or press the Space Bar to
display the answers.
3
Transparency 6a
4
Objectives

• Find the product of a monomial and a polynomial
• Solve equation involving polynomials

5
Vocabulary

• none new sorry no definitions! Check back
  tomorrow for some!! -

6
Multiplying Polynomials

• Use the Distributive Property of Equality!
• Example 6x(2x2 3xy 5y3 4) 6x(2x2)
  6x(3xy) 6x(5y3) 6x(4) 12x3 18x2y 30xy3
  24x

7
Example 1
Find 6y(4y2 9y 7)
Method 1 Horizontal
Method 2 Vertical
8
Example 2
Simplify 3(2t2 4t 15) 6t(5t 2)
9
Example 3
Entertainment Admission to the Super Fun
Amusement Park is 10. Once in the park, super
rides are an additional 3 each and regular rides
are an additional 2. Sarita goes to the park and
rides 15 rides, of which s of those 15 are super
rides. Find an expression for how much money
Sarita spent at the park.
Words The total cost is the sum of the admission,
super ride costs, and regular ride costs.
10
Example 3 cont
11
Example 3 cont
Evaluate the expression to find the cost if
Sarita rode 9 super rides.
Answer Sarita spent 49.
12
Example 4
Solve b(12 b) 7 2b b(-4 b)
13
Summary Homework

• Summary
• The Distributive Property can be used to multiply
  a polynomial by a monomial
• Homework
• pg. 446 16-48 even