Lesson#3&#4

FactoringReviewFactor:x2–6x+8Factor:6x2–12x–18ReviewofFactoringBinomials.

ADifferenceofSquaresisoftheform:

Example#1Factorcompletely:4x2–16Youtry:Factor:16Y2–144Difference/SumofCubes:

a2 − b2 = (a + b)(a − b)

Lesson#3&#4

Example#2:Factorcompletely:125d3–8Example#3:Factorcompletely:4x4+108xYoutry:Factor:8𝑥! − 64FactorByGrouping:x3–x2–25x+251.Groupthefirstsetoftermsandlastsetofterms.2.FactorouttheGreatestCommonFactorfromeachgroup.3.FactorouttheGCFagainExample#4–FactorbyGroupingx3–2x2–9x+18

Lesson#3&#4

Example#5:Factor10𝑥! + 27𝑥 + 5Example#6:Factor4𝑥! − 7𝑥 + 3

1. x2 − 5x + 62. 3x2 +11x − 203. x3 + 2164. 8x3 −85. 3x3 − 6x2 − 24x

Lesson#3&#4

FactoringwithCommonBinomialsExample#1:Simplifyintofactors:

𝑥 + 2 ! 𝑥 + 5 + 𝑥 + 2 !Example#2:Simplifyintofactors:

𝑥 + 2 ! 𝑥 − 7 ! + 𝑥 − 18 𝑥 − 7 ! 𝑥 + 2 !Youtry:Simplifyintofactors:

𝑥 + 1 ! 𝑥 − 4 ! + 𝑥 − 20 (𝑥 + 1) 𝑥 − 4 !Example#3:Solvetheequation.

𝑥 + 3 ! 𝑥 + 1 + 𝑥 + 3 ! = 0Youtry:Solvetheequation.

𝑥 − 2 ! 𝑥 + 5 + 𝑥 − 2 ! = 0

Lesson#3&#4

Example#4:Solvetheequation.𝑥 − 2 ! 𝑥 + 5 + 𝑥 − 2 ! = 5

Example#5:Solvetheequation.

𝑥! − 5𝑥 + 2 = 10Example#6:Solvetheequation.

(𝑥 − 2)!(𝑥 + 5)(𝑥! − 5𝑥 + 2) = 0