1. Multiplying a Polynomial by a Monomial
Section 9-3

2. Multiplying a Polynomial by a Monomial
Words: To multiply a polynomial by a monomial use the ___________ __________.
Symbols: a (b + c) =
Use the distributive property – multiply everything in your parenthesis by the term outside of the parenthesis. Give EVERRYBODY some candy!!!
Draw in table to show students how the model would work

3. Find each product y(y + 5) 2. b(2b2 + 3)
3. -2n (7 - 5n2) x3(2x2 - 5x + 8)

4. Your Turn!
7(2x + 5) x(3x2 - 7)
3. -5a(6 - 3a2) m2(5m2 – 7m + 8)

5. Solve the equation. 11(y – 3) + 5 = 2(y + 22)
2. w(w + 12) = w(w + 14) + 12

6. Your Turn!
2(5x – 12) = 6(-2x + 3) + 2
a (a + 2) + 3a = a (a – 3) + 8

7. Geometry Link Find the area of the shaded region in simplest form. 3x

8. Reading to Learn Mathematics
1.) Use the concepts learned in section 9.3 to answer the following: a. How is the distributive property used to multiply a polynomial by a monomial?
Call a student up to the board give them the monomial 2x2 and the polynomial (2x + y) have them show the class how to use the distributive property to multiply these two terms. Prompt students to tell you why the term 2x2 is a monomial and why the term (2x+y) is a polynomial.

9. Reading to Learn Mathematics

10. Reading to Learn Mathematics
2. What is the difference between simplifying an expression and solving an equation?