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.