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1.1MultiplyandFactorPolynomialsEx1:Ex2:Ex3:

Factoring–TheinverseofMultiplyingPolynomials

*LookbackatEx1Ex4: Ex5:X=AxC X=AxC+=B +=BEx6: Ex7:X=AxC X=AxC+=B +=B

NOTES

*Rememberwhenmultiplyingsamebasesyouaddtheexponents

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YOUTRY!1) 2)

SUMMARY:

1.1MultiplyandFactorPolynomials

Directions:Findtheproduct!SHOWWORK.1) 3𝑥 − 4 3𝑥 + 4 2) 2𝑥 − 5 𝑥! + 4𝑥 3) 4𝑥 − 𝑦 2𝑥 + 3𝑦

4) 𝑎 − 5 2𝑎! − 4𝑎 + 3 5) 3𝑓 − 2𝑔 𝑓! + 2𝑓𝑔 − 𝑔! 6) 𝑥 − 4𝑦 !

PRACTICE

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Directions:Factoreachpolynomial.7)𝑥! − 3𝑥 − 54 8)4𝑎! − 5𝑎 + 1

9)2𝑟! − 7𝑟 − 49 10)4𝑥! + 4𝑥 − 3

11)𝑥! − 49 12)5𝑛! − 6𝑛 − 8

13)𝑥! + 3𝑥 − 70 14)4ℎ! − 13ℎ − 12

Directions:Choosethebestanswer.15)Factor:5𝑛! + 8𝑛 − 21a) 𝑛 − 7 5𝑛 − 3 b) 5𝑛 + 7 𝑛 + 3 c) 𝑛 − 7 5𝑛 + 3 d) 5𝑛 − 7 𝑛 + 3

16)Multiply: 𝑥 − 2𝑦 !a)𝑥! + 4𝑦!b)𝑥! − 4𝑥𝑦 + 4𝑦!c)𝑥! − 4𝑦!d)𝑥! + 4𝑥𝑦 − 4𝑦!

17)Factor:16𝑥! − 25𝑦!a) 4𝑥 − 5𝑦 4𝑥 − 5𝑦 b) 4𝑥 + 5 4𝑥 − 5 c) 4𝑥 + 5𝑦 4𝑥 − 5𝑦 d) 4𝑥 + 5𝑦 4𝑥 + 5𝑦

©2018TheAlgebros,LLC

1.1MultiplyandFactorPolynomials

Directions:Findtheproduct!SHOWWORK. Directions:Factoreachpolynomial.1) 2𝑎 + 𝑏 𝑎! + 3𝑎𝑏 − 2𝑏! 2)4𝑥! + 8𝑥 − 5

3)Thefollowingrectanglehasanareaof3𝑥! − 17𝑥 + 10.

a)Whatarethepossiblesidelengths,intermsofx,fortherectangle?

b)Explainyouranswerandjustifyhowyouknowthatthesidesyoufoundareindeedpossiblelengths.(usecompletesentences,diagrams,shownwork).

WRAP UP

FLIDGRID IT!

©2018TheAlgebros,LLC

4)ThreeoftheAlgebroshavetackledthefollowingmathproblem.ChoosewhichAlgebrohastheBESTanswer.Thenjustifywhyyoubelievethatisthebestanswer.Multiply: 4𝑓 − 4 2𝑓! − 𝑓 − 1 Mr.Bean:8𝑓! − 12𝑓! + 0𝑓 + 4Mr.Brust:8𝑓! + 12𝑓! + 4Mr.Kelly:8𝑓! − 12𝑓! + 4EXIT TICKET –

Which expression is equivalent to 𝑎!𝑥! − 2𝑐𝑥! + 𝑎!𝑦 − 2𝑐𝑦?

a) (𝑥! − 𝑦)(𝑎! − 2𝑐)

b) (𝑥! − 𝑦)(𝑎 + 𝑐)

c) (𝑥! + 𝑦)(𝑎! − 2𝑐)

d) (𝑥! + 𝑦)(𝑎 + 𝑐)

Explain (in complete sentences) how you found your answer.