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 5 Polynomial Zeros 5 Extrema _4 end behavior YY PCx A hjm PCX 0 NOT a Polynomial D3 Polynomial Zeros 3 extrema _2 end behavior YYosP 0 4715 D o Polynomial zeros NONE extrema_None end behavior YYosP O KY 75 1 0 3 as Polynomial zeros 3 extrema_2 end behavior YYosP 0 4715 1 0 3 bi A Polynomial Zeros 3 extrema_2 end behavior YFosP 77 NOT a Polynomial 5 9 3 1 31 2 9 x omof3 x D2 X 3 X lmof2 full A x 3mot A X 3mof1D 11 3mof1 y int y int 0,0 0,3 μ a X V X Lx 31 12 e f X 0 2 2 48 9 x 3 X 2 III's S μ We Xt 3 X 3 2x D v v X 3 11 3 y Y int 10,9
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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