WorksheetsUnit 4B Pra
Total questions: 51
Worksheet time: 1hrs 14mins
Name
Class
Date
1.
Find the zeros of the polynomial.
f(x) = x3 - 3x2 - 10x
f(x) = x3 - 3x2 - 10x
a)
x = 1, 10, 3
b)
x = 0, -5, 2
c)
x = 0, 5, -2
d)
x = 0, 3, -10
2.
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
3.
a)
p(x) = (x − 1)(x + 2)(x + 5)
b)
p(x) = (x + 1)(x − 2)(x − 5)
c)
p(x) = (x − 1)2(x + 2)(x + 5)
d)
p(x) = (x + 1)2(x − 2)(x − 5)
4.
a)
2
b)
1
c)
4
d)
None
5.
a)
None
b)
1
c)
2
d)
4
6.
State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)2(x - 2)
f(x) = x(x+3)2(x - 2)
a)
x = 0, 3, 2
b)
x = 0, -3 (multiplicity of 2), 2
c)
-3, 2
d)
0, 2 (multiplicity of 3)
7.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
8.
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
9.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
10.
Find all the zeros of the following cubic function:
f(x) = x3 + 2x2 + 5x - 26
List any repeating zeros.
f(x) = x3 + 2x2 + 5x - 26
List any repeating zeros.
a)
{2, 3, 5}
b)
{2, -2 + 3i, -2 - 3i}
c)
{-2 +3i, 2+3i, 10}
d)
{2, -2 + 3i}
11.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
12.
How many zeros does the polynomial function
P(x) = x3+3x2-5x-15 have?
P(x) = x3+3x2-5x-15 have?
a)
0
b)
1
c)
2
d)
3
13.
How many zeros does the polynomial function
P(x) = 3x4+4x-8 have?
P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
14.
f(x)=(x+4)(x-3)(x-2)
List the zeros for this function.
List the zeros for this function.
a)
x=-4, x=3, x=-2
b)
x=-4, x=3, x=2
c)
x=-4, x=3, x=2
d)
x=4, x=3, x=2
15.
What are the zeros (x-intercepts)?
f(x)=7x²-3x-4
f(x)=7x²-3x-4
a)
x = 4, 7
b)
x = -1, 4/7
c)
x = -4/7, 1
d)
x = 7, -4
16.
What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)
y = x(x - 6)(x + 5)
a)
0, 6, -5
b)
6, -5
c)
0, -6, 5
d)
1, -6, 5
17.
Describe the leading coefficient for this polynomial function.
a)
negative
b)
positive
c)
even
d)
odd
18.
Describe the degree.
a)
positive
b)
odd
c)
negative
d)
even
19.
Identify the leading coefficient.
a)
even
b)
negative
c)
odd
d)
positive
20.
What degree is the polynomial?
a)
3
b)
4
c)
2
d)
can't be determined
21.
How many zeros are in the following function?
f(x)= x5 - 3x3 + x
f(x)= x5 - 3x3 + x
a)
8
b)
9
c)
5
d)
3
22.
How many zeros are in the following function?
7x3 + 4x2+ x - 9
7x3 + 4x2+ x - 9
a)
6
b)
5
c)
3
d)
2
23.
Factor 24x4 - 6.
a)
6(4x4 - 1)
b)
6(2x + 1)(2x - 1)
c)
(2x2 + 1)(2x2 - 1)
d)
not here
24.
a)
(-2.55, 0), (2.55, 0)
b)
(-3, 0), (-2, 0), (2, 0), (3, 0)
c)
(0, 36)
d)
(0, -3), (0, -2), (0, 2), (0, 3)
25.
Find all zeros
f(x)= x2 - 64
f(x)= x2 - 64
a)
64
b)
8, -8
c)
-32
d)
12
26.
a)
(1, 4)
b)
(0, 2)
c)
(-1, 0)
d)
(2, 0)
27.
a)
A.
b)
B.
c)
C.
d)
D.
28.
a)
A.
b)
B.
c)
C.
d)
D.
29.
Which function?
a)
a
b)
b
c)
c
d)
d
30.
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
31.
Level 2 Question 11
64-27a3
64-27a3
a)
(4-3a)(9a2+12a+16)
b)
(3a-4)(3a2+12a+16)
c)
(4-3a)(3a2+12a+16)
d)
(4-3a)3
32.
Level 2 Question 10
3x3 + 24
3x3 + 24
a)
Prime
b)
3(x+2)3
c)
3(x+2)(x2 - 2x + 4)
d)
3(x-2)(x2 + 2x + 4)
33.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
34.
What is the end behavior as x → +∞, f(x)→ ?(this means as x goes towards positive infinity, where does y go?)
a)
-∞
b)
∞
35.
What is the end behavior as x → -∞ f(x)→ ? (this means as x goes towards negative infinity, where does y go?)
a)
-∞
b)
∞
36.
What is the absolute min?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None
37.
What is the absolute max?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None
38.
What is the relative min?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None
39.
What is the relative max?
a)
(0, 36)
b)
(-2.55, -6.55), (2.55, -6.55)
c)
(-∞, ∞)
d)
None
40.
What are all the y-intercepts?
a)
(0, -6.25)
b)
(-3,0), (-2,0), (2,0), (3,0)
c)
(0, 36)
d)
(-∞, ∞)
41.
What are all the roots?
a)
(-2.55, 0), (2.55, 0)
b)
(-3,0), (-2,0), (2,0), (3,0)
c)
(0, 36)
d)
(-∞,∞)
42.
Where is the function decreasing?
a)
(-∞, -2.55) U (0, 2.55)
b)
(+∞, -6.25) U (36, -6.25)
c)
(-∞, ∞)
d)
(-∞, 0)
43.
Where is the graph increasing?
a)
(-∞, -2.55) U (2.55, ∞)
b)
(0, ∞)
c)
(-2.55, 0) U (2.55, ∞)
d)
(-6.25, 36)
44.
For a polynomial, the relative max can never be the same as the absolute max.
a)
True
b)
False
45.
Cubic polynomials never have an absolute minimum or maximum.
a)
True
b)
False
46.
a)
2
b)
1
c)
4
d)
None
47.
a)
None
b)
1
c)
2
d)
4
48.
a)
The function is Odd
b)
The function is Even
c)
The function has 5 real zeros
d)
The function is Positive
49.
a)
The function is Even
b)
The function is Positive
c)
The function has 4 real zeros
d)
The function has 3 real zeros
50.
a)
The function is Even, Positive
b)
The function is Even, Negative
c)
The function is Odd, Negative
d)
The function is Odd, Positive
51.
a)
The function is Even, Positive
b)
The function is Even, Negative
c)
The function is Odd, Negative
d)
The function is Odd, Positive
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