WorksheetsThe Fundamental Theorem Of Algbra
Total questions: 20
Worksheet time: 2hrs 34mins
Name
Class
Date
1.
How many zeros does the following function have?
f(x)= x5 - 3x3 + x
f(x)= x5 - 3x3 + x
a)
8
b)
9
c)
5
d)
3
2.
The degree of the polynomial determines the number of roots.
a)
True
b)
False
3.
The largest exponent determines the degree of the polynomial.
a)
True
b)
False
4.
a)
This graph has two imaginary roots because it is a polynomial of degree two.
b)
This graph has two imaginary roots because it has one hump.
c)
This graph has two imaginary roots because it touches the x-axis at two points.
d)
This graph is imaginary because it the graph has shifted up.
5.
What is the least degree of the graph of the above polynomial?
a)
3
b)
4
c)
5
d)
Not enough information
6.
A Polynomial of Degree 6 CAN have the following number of imaginary roots:
a)
1
b)
4
c)
3
d)
8
7.
What is the degree of the following polynomial that has 4 real roots and 2 complex roots?
a)
4
b)
2
c)
8
d)
6
8.
All imaginary roots comes in pairs.
a)
True
b)
False
9.
What is the degree of a polynomial that has roots of -2, 4i and -4i ?
a)
3
b)
4
c)
1
d)
2
10.
If 2i is a zero, then
a)
2i repeats twice
b)
-2i is a zero too
c)
1-2i is a zero too
d)
0+2i is a zero too
11.
What are the zeros for the given graph? Select all that apply.
a)
−1
b)
0
c)
1
d)
2
12.
What are the zeros of the function f(x)=3x(x−4)(x+5) ?
a)
−4, 0, 5
b)
−4, 3, 5
c)
−5, −3, 4
d)
−5, 0, 4
13.
What are the zeros of f(x) = m2-9m+20?
a)
4, 5
b)
-4, -5
c)
2, 10
d)
-2, -10
14.
Identify the zeros of f(x) = x2-36 .
a)
4, -9
b)
6, -6
c)
18, -18
d)
36, -36
15.
What is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)
f(x)= x3(x + 3)2(x – 5)
a)
Degree: 6
b)
Degree: 5
c)
Degree: 3
d)
Degree: 2
16.
What is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)
f(x)= x3(x + 3)2(x – 5)
a)
Degree: 6
b)
Degree: 5
c)
Degree: 3
d)
Degree: 2
17.
Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.
a)
A
b)
B
c)
C
d)
D
18.
a)
This graph has two imaginary roots because it is a polynomial of degree two.
b)
This graph has two imaginary roots because it has one hump.
c)
This graph has two imaginary roots because it touches the x-axis at two points.
d)
This graph is imaginary because it the graph has shifted up.
19.
All imaginary roots comes in pairs.
a)
True
b)
False
20.
What is the degree of a polynomial that has roots of -2, 4i and -4i ?
a)
3
b)
4
c)
1
d)
2
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