Unit 2 Polynomial Quiz Review This quiz is 100% non-calculator!!!!! State if the following functions are polynomials. If they are find the number of zeros, number of possible extrema, and the end behavior.

a) !"#$ % #& ' 9#)

b) !"#$ % )* + 5#

c) !"#$ % '"# ' 1$/"# ' 3$

d) !"#$ % ln"1$

e) !"#$ % 2#) ' #/ ' 18# + 9

f) !"#$ % #"# ' 3$"# + 2$

g) !"#$ % √84#/7

Now graph the above functions that are polynomials

D 5Polynomial Zeros 5 Extrema_4 endbehaviorYYPCx A hjmPCX 0

NOTaPolynomialD 3

Polynomial Zeros 3 extrema_2 end behaviorYYosP 0 4715D oPolynomial zeros NONE extrema_None end behaviorYYosP O KY751 03 as

Polynomial zeros 3 extrema_2 end behaviorYYosP 0 471510 3 bi A

Polynomial Zeros 3 extrema_2 end behaviorYFosP 77NOT aPolynomial

5 9 3 131 2 9 x omof3 x D2 X 3 X lmof2 fullA x 3mot A X 3mof1D11 3mof1 y inty int0,0 0,3

µ a X

V

X Lx 31 1 2e f X 0

2 2 48 9 x 3X 2

III's Sµ

We

Xt3 X 3 2x Dv v

X 311 3yY int10,9

Write the possible equations for the following graphs:

a) b)

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x).

Use the Factor Theorem to show that x – c is a factor of P(x) for the given value(s) of c. If it is a factor find the remaining zeros.

a.

b.

c.

d.

e.

f.

a.

b.

c.

d.

3

x 5

2 I

k leading Coefficent

y Kx Xt3 X 1 X 5 y Kutz x D2

3J 3 5 4 If I 4 6 1

I 9 12 I 5 I

3 4 I 5 I

3 4 3 X2t5X 1

you can Do synthetic I just 2x t4don't deal w fractions 2L't t 2 1 4 3 0 2 7 94 72 21

2X 3 2 3 3 2 2x to 2 2 7X2 3 1 t2xXtx u

8 92x to 8k73 53

3 2 2 4 52 It 2 3 2 1

2 344 2 8X 3 XZ.at 4x4 4x3tOx X3x43xxfEo5xitY 2

4 tt oxzx3 3xZt4Xt lyt3x t4Xx4t8g y y

If 8 IEXIX3 174 7 11 2 74 78 5772 X 13

13 3115134 I 13 245 34 IOI 3 3 1 0 Factor 1 2 3 10 10

NOT AD 1 3 3 1 Factor

tr l 2 I

I 2 I

XZ 2 1X 1 X I X lM 34 31333 16135 27133163

81 81 414 48 63 0

X 3 i Factor

3 4 31 350 16L35276

2ft 3t7 kYt6 K 5 81 81 144 63 63

tht 3 5 18

Igt 3 5X 3 NOTA facto

16g 3 5

21 3 5 0.0 Factor

2 7 6 5t I 4 5

x kX 2 i

2 8 10 OU

2 2 8 10

21 2 4 54th2

4 22