WorksheetsCh 5 Review
Total questions: 13
Worksheet time: 1hrs 8mins
Name
Class
Date
1.
What is the end-behavior?
a)
lim x-> -oo f(x) -> oo
lim x-> oo f(x) -> -oo
lim x-> oo f(x) -> -oo
b)
lim x-> -oo f(x) -> oo
lim x-> oo f(x) -> oo
lim x-> oo f(x) -> oo
c)
lim x-> -oo f(x) -> -oo
lim x-> oo f(x) -> oo
lim x-> oo f(x) -> oo
d)
lim x-> -oo f(x) -> -oo
lim x-> oo f(x) -> -oo
lim x-> oo f(x) -> -oo
2.
What is the equation in factored form of this graph?
a)
f(x) = (x-4)(x-1)2(x+2)(x+4)
b)
f(x) = (x-4)(x+1)2(x+2)(x+4)
c)
f(x) = (x-4)(x-1)2(x-2)(x+4)
d)
f(x) = (x+4)(x+1)2(x-2)(x-4)
3.
Find all zeros for the polynomial function
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
Factor by grouping and then set = 0 to find zeros.
P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
4.
Find a polynomial function of degree 3 with zeros 3i and -2.
a)
P(x) = x3+2x2+9x+11
b)
P(x) = x3-2x2+9x+18
c)
P(x) = x3+2x2+9x+18
d)
P(x) = x2-3ix+2x-6i
5.
The polynomial is...
a)
Odd degree, positive leading coefficient.
b)
Odd degree, negative leading coefficient.
c)
Even degree, positive leading coefficient.
d)
Even degree, negative leading coefficient.
6.
Identify the zeros:
a)
x=2, x=6, x=-4
b)
(x+2)(x+6)(x-4)
c)
(x-2)(x-6)(x+4)
d)
x=-2, x=-6, x=4
7.
Find all zeros of the polynomial function by factoring.
P(x) = x3+6x2+9x+54
P(x) = x3+6x2+9x+54
a)
6, 3, -3
b)
-6, 3, -3
c)
-6, 3i, -3i
d)
6, 3i, -3i
8.
Factor this sum of cubes:
d3 + 216
d3 + 216
a)
(d + 6)(d2 - 6d + 36)
b)
(d - 6)(d2 - 6d + 36)
c)
(d + 6)(d - 6)
d)
(d + 6)(d + 6)(d + 6)
9.
Factor by grouping:
x³+7x²-2x-14
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
10.
Name each polynomial by degree.
-2k2 + 1 - 4k3 - 3k
-2k2 + 1 - 4k3 - 3k
a)
Cubic
b)
Quartic
c)
Quadratic
d)
Linear
11.
For long division, what would be the first term of the quotient?
a)
8x2
b)
4x
c)
x
d)
2x
12.
Divide using any method.
(2x3 + 5x2 + 9) ÷
(x + 3)
(2x3 + 5x2 + 9) ÷
(x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/(x+3)
d)
2x2 - 5x + 12
13.
a)
A
b)
B
c)
C
d)
D
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