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WorksheetsPolynomial Review
Total questions: 20
Worksheet time: 3600secs
Name
Class
Date
1.
Find all zeros for the polynomial function P(x) = x3 -3x2-5x+15
a)
3, √5
b)
3, √5, -√5
c)
-3, √5, -√5
d)
-3, 5i, -5i
2.
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
3.
What is the degree of the polynomial function
P(x)=3x4-7x2-2x7-x+4
P(x)=3x4-7x2-2x7-x+4
a)
4
b)
7
c)
2
d)
11
4.
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
5.
A polynomial function with rational coefficients of degree 4 MUST have at least 1 rational zero.
a)
True
b)
False
6.
A polynomial function with rational coefficients of degree 3 MUST have at least 1 rational zero.
a)
True
b)
False
7.
State the possible number of REAL ZEROS for the function:
f(x) = 2x4 + 19x2 + 24
f(x) = 2x4 + 19x2 + 24
a)
4, 2, 0
b)
4, 2
c)
2, 0
d)
4
8.
State the number of IMAGINARY ZEROS for the function:
f(x) = 2x4 + 19x2 + 24
f(x) = 2x4 + 19x2 + 24
a)
4, 2, 0
b)
4, 0
c)
4, 2
d)
2, 0
9.
What are the x-intercepts of the polynomial y = - (x + 1) x (x - 2) (x - 3)?
a)
-1, 1, 0, -2, -3
b)
1, 0, -2, -3
c)
1, 0, 2, 3
d)
-1, 0, 2, 3
10.
What are the x-intercepts of the polynomial y = 3 (x + 4) (x + 1) (x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
11.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
12.
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
13.
This polynomial is degree 5.
It has...
It has...
a)
4 real zeros.
b)
3 imaginary zeros.
c)
positive leading coefficient.
d)
negative leading coefficient.
14.
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.
15.
A potential leading term is...
a)
5x4
b)
-5x3
c)
5x3
d)
-5x4
16.
What is the power of the polynomial that goes through the X-axis 5 times and bounces on the X-axis 4 times?
a)
13
b)
8
c)
15
d)
10
17.
What is the power of the polynomial that goes through the X-axis 1 times and bounces on the X-axis 3 times?
a)
4
b)
5
c)
6
d)
7
18.
What is the power of the polynomial that goes through the X-axis 2 times and bounces on the X-axis 4 times?
a)
10
b)
9
c)
8
d)
6
19.
What is the power of the polynomial that goes through the X-axis 3 times and bounces on the X-axis 2 times?
a)
5
b)
8
c)
6
d)
7
20.
Match the graph
a)
y=-(x+1)(x-2)(x-4)
b)
y=(x+1)2(x-3)(x-1)3
c)
y = 3x3 – 2x + 1
d)
y=(x+1)3(x-3)(x-1)2
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