Name:_________________________________________4.1-4.3QuizReview• Decidewhetherthefunctionisapolynomialfunction.Ifso,writeitinstandardformandstateits
degree,type,andleadingcoefficient.
1. 𝑓 𝑥 = 5+ 2𝑥! − 3𝑥! − 2𝑥 − 𝑥!
2. 𝑔 𝑥 = !!𝑥! + 2𝑥 − 3𝑥!! + 1
• Preformtheoperation3. 7𝑥! − 4 − (3𝑥! − 5𝑥 + 1)
4. 7𝑥! − 4 (3𝑥! − 5𝑥 + 1)• Usebinomialexpansion(Pascal’striangle)toexpand:
5. (2𝑥 + 5)!
• Uselongdivisiontodivide:
6. (4𝑥! − 2𝑥! + 𝑥! − 5𝑥 + 8)÷ (𝑥! − 2𝑥 − 1)
• Usesyntheticdivisiontodivide
7. (𝑥! − 5𝑥! + 8𝑥! − 72)÷ (𝑥 − 6)• Usetheremaindertheoremtoevaluatethefollowing
8. 𝑓 𝑥 = 𝑥! + 6𝑥! − 7𝑥 + 1 ; 𝑥 = 3
• Sketchagraphofthepolynomialfunctionfhavingthegivencharacteristics.Usethegraphtodescribe
thedegreeandleadingcoefficientofthefunctionf.
o fisincreasingwhen-2<x<0andx>2fisdecreasingwhenx<-2and0<x<2
o f(x)>0whenx<-3,-1<x<1,andx>3f(x)<0when-3<x<-1and1<x<3.