C HAPTER 10 – P OLYNOMIALS AND FACTORING 10.2 – Multiplying Polynomials

10.2 – M ULTIPLYING P OLYNOMIALS Today we will be learning how to: Multiply 2 polynomials Use polynomial multiplication to in real life situations

10.2 – M ULTIPLYING P OLYNOMIALS In section 2.6 we learned how to multiply a polynomial by a monomial using the distributive property. (3 x )(2 x 2 – 5 x + 3) =

10.2 – M ULTIPLYING P OLYNOMIALS When multiplying two binomials, use the FOIL pattern. F irst terms O uter terms I nner terms L ast terms

10.2 – M ULTIPLYING P OLYNOMIALS FOIL Method

10.2 – M ULTIPLYING P OLYNOMIALS Example 1 Find the product ( x + 8)( x – 7)

10.2 – M ULTIPLYING P OLYNOMIALS Example 2 Find the product (2 x + 3)(5 x + 1)

10.2 – M ULTIPLYING P OLYNOMIALS To multiply two polynomials that have three or more terms, remember: EACH TERM OF ONE POLYNOMIAL MUST BE MULTIPLIED BY EACH TERM OF THE OTHER POLYNOMIAL Use a vertical or horizontal format

10.2 – M ULTIPLYING P OLYNOMIALS Example 3 – vertical Find the product ( x – 4)(5 x + 9 – 2 x 2 )

10.2 – M ULTIPLYING P OLYNOMIALS Example 4 – horizontal Find the product (5 x 2 – x – 3)(6 x – 5)

10.2 – M ULTIPLYING P OLYNOMIALS HOMEWORK Page 587 #18 – 46 even