1. 5.4
Multiplying Polynomials

2. Multiplying Monomials
Example 1
Multiplying Monomials
Find the product.
Answer

3. Multiplying Polynomials
Example 2
Multiplying Polynomials
Find each product.
(a) (b)
Answer
(a)
(b)

4. Multiplying Polynomials Vertically
Example 3
Multiplying Polynomials Vertically
Find each product.
(a) (b)
Answer
(a)

5. Multiplying Polynomials Vertically (continued)
Example 3
Multiplying Polynomials Vertically (continued)
(b)

6. Example 4
Using the FOIL Method
Use the FOIL method to find each product.
(a) (5r – 3)(2r – 5) (b) (4y – z)(2y + 3z)
Answer
(a)

7. Using the FOIL Method (continued)
Example 4
Using the FOIL Method (continued)
Use the FOIL method to find each product.
(a) (5r – 3)(2r – 5) (b) (4y – z)(2y + 3z)
Answer
(a)

8. Multiplying the Sum and Difference of Two Terms
Example 5
Find each product.
(a) (m + 5)(m – 5) (b) (x – 4y)(x + 4y)
(c)
Answer
(a)
(b)
(c)

9. Example 6
Squaring Binomials
Find each product.
(a) (b)
(c)
Answer
(a)
(b)
(c)

10. Multiplying More Complicated Binomials
Example 7
Find each product.
(a)
(b) (c)
Answer
(a)
Product of sum and difference of terms
Square both quantities.

11. Multiplying More Complicated Binomials (continued)
Example 7
(b)
Square p + 2q.
Distributive property
Combine like terms.

12. Multiplying Polynomial Functions
Example 8
Multiplying Polynomial Functions
For f(x) = 3x + 1 and g(x) = 2x – 5, find (fg)(x) and (fg)(2).
Answer
FOIL