Section 5.3 & 5.4

1. Section 5.3 & 5.4 Multiplying Polynomials Special Products

2. Multiply Polynomials • Multiply • Multiplying Monomials • Multiply coefficients. • Add the exponents of like bases. • Write any unlike variable bases unchanged in the product. Section 5.3 & 5.4

3. Multiply Polynomials • The Distributive Property • To multiply a polynomial by a monomial, use the distributive property and the multiplication property of exponents. • Multiply Section 5.3 & 5.4

4. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

5. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. distribute Section 5.3 & 5.4

6. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. distribute Section 5.3 & 5.4

7. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

8. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

9. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

10. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

11. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

12. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

13. Multiply Polynomials • To multiply two binomials, multiply each term of the first polynomial by each term of the second polynomial and then combine like terms. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4

14. Multiply Polynomials • Multiplying two binomials horizontally is often referred to as the FOIL method. • First • Outer • Inner • Last Section 5.3 & 5.4

15. Multiply Polynomials • Multiply Section 5.3 & 5.4

16. Multiply Polynomials • Special Products of Binomials • Squaring a binomial • Result is called a perfect square trinomial • Multiplying conjugates • Conjugates are binomials that differ only in the sign separating the terms. Section 5.3 & 5.4

17. Multiply Polynomials • Multiply Section 5.3 & 5.4

18. Multiply Polynomials • No matter how many terms are in each polynomial, multiply every term in the first polynomial by every term in the second. • Horizontally, vertically, or with a grid. Section 5.3 & 5.4