7.2MultiplyingPolynomials

Wehavenolearnedhowtoclassifyandadd/subtractpolynomials,letslearnhowtomultiply!

Example1:MultiplyingBinomialsUsingDistributiveProperty

a)!(! + 5) b)(! + 3)(! − 4)

Example2:MultiplyingBinomialsUsingaTable

Find(2! − 3)(! + 5)

UsingtheFOILMethod

Example3:MultiplyingBinomialsUsingtheFoilMethod

a) (! − 3)(! − 6)b)(2! + 1)(3! − 5)

Example4:MultiplyingaBinomialandaTrinomial

CanyouuseFOIL?Why?

Find(! + 5)(!, − 3! − 2)

Example5:SolvingaReal-LifeProblem

InHockey,agoaliebehindthegoallinecanonlyplay

apuckinthetrapezoidregion(Crease).

a) Writeapolynomialthatrepresentstheareaofthetrapezoidalregion.

b) Findtheareaofthetrapezoidalregionwhentheshorterbaseis18ft.

Homework:3,9,11,15,25,26,31,33,35,41,44,50