# Multiplying the Polynomials Contributed by: OBJECTIVES:
1. Multiply terms. 2. Multiply any two polynomials. 3. Multiply binomials. 4. Find the product of the sum and difference of two terms. 5. Find the square of a binomial. 6. Multiply polynomial functions.
Sec 6.4 - 1
2. Chapter 6
Exponents, Polynomials, and
Polynomial Functions
Sec 6.4 - 2
3. 6.4
Multiplying Polynomials
Sec 6.4 - 3
4. 6.4 Multiplying Polynomials
Objectives
1. Multiply terms.
2. Multiply any two polynomials.
3. Multiply binomials.
4. Find the product of the sum and difference
of two terms.
5. Find the square of a binomial.
6. Multiply polynomial functions.
5. 6.4 Multiplying Polynomials
Multiplying Monomials
We multiply polynomials by using the distributive,
commutative, and associative properties along with the rules of
Multiply the numerical factors, then multiply
the variable factors.
6. 6.4 Multiplying Polynomials
Multiplying a Polynomial by a Monomial
To multiply a polynomial with more than one term by a
monomial, use the distributive property to remove parentheses
and simplify.
7. 6.4 Multiplying Polynomials
Multiplying a Binomial by a Binomial
To multiply two binomials, multiply each term of one binomial
by each term of the other binomial and combine like terms.
8. 6.4 Multiplying Polynomials
Multiplying the Product of Two Binomials by a Monomial
9. 6.4 Multiplying Polynomials
Multiplying Polynomials Vertically
Find the product.
10. 6.4 Multiplying Polynomials
Using the FOIL Method
We can use a shortcut method, called the FOIL method, to
multiply binomials. FOIL is an acronym for First terms, Outer
terms, Inner terms, and Last terms. To use the FOIL method
to multiply 2a – 4 by 3a + 5, we
11. 6.4 Multiplying Polynomials
Using the FOIL Method
First terms Last terms
Inner terms
Outer terms
12. 6.4 Multiplying Polynomials
Product of the Sum and Difference of Two Terms
13. 6.4 Multiplying Polynomials
Finding the Square of a Binomial
14. 6.4 Multiplying Polynomials
Finding the Square of a Binomial
15. 6.4 Multiplying Polynomials
Finding the Square of a Binomial
16. 6.4 Multiplying Polynomials
Multiplying More Complicated Polynomials