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WorksheetsPolynomial Roots
Total questions: 15
Worksheet time: 29mins
Name
Class
Date
1.
a)
A
b)
B
c)
C
d)
D
2.
a)
A
b)
B
c)
C
d)
D
3.
a)
A
b)
B
c)
C
d)
D
4.
a)
A
b)
B
c)
C
d)
D
5.
Write the polynomial with the least degree having the given roots.
a)
A
b)
B
c)
C
d)
D
6.
State the zeros of the polynomial (include multiplicity):
f(x) = (x2+9)(x -1)3(2x + 5)
f(x) = (x2+9)(x -1)3(2x + 5)
a)
-9, 1, -5
b)
-9, 1 (multiplicity of 3), -5
c)
± 3i , 1 (multiplicity of 3), -5∕2
d)
± 3i, 1, -5
7.
List the potential real zeros of:
f(x) = 5x3 - x2 + 3
f(x) = 5x3 - x2 + 3
a)
±1/5, ±3/5, ±1, ±3
b)
±1/3, ±5/3, ±1, ±5
c)
±1/5, ±3/5, ±1, ±3, ±5
d)
±1/5, ±1/3, ±1, ±3, ±5
8.
What is another way to say "where a function crosses the x-axis"?
a)
x-intercept
b)
zero
c)
root
d)
all of these.
9.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
10.
The discriminant is
a)
ax2 + bx + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
11.
Solve the equation using square roots
4x2 - 25 = 0
4x2 - 25 = 0
a)
5/2, -5/2
b)
5/2, 5/2
c)
-5/2, -5/2
12.
Which binomial is a factor of
f(x)= x3 -6x2 +3x +10?
f(x)= x3 -6x2 +3x +10?
a)
x + 1
b)
x + 2
c)
x + 5
d)
x + 10
13.
What are the roots of the function
f(x)= (x - 2)(x + 3)?
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
14.
What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
x-intercepts of the function
f(x)= (x - 2)(x + 3)?
a)
x = - 2 or x = 3
b)
x = 2 or x = -3
c)
The are no real roots
d)
x = 2 or x = 3
15.
(x2 + 9x + 18) ÷ (x + 3)
a)
x - 6
b)
x + 6 R(0)
c)
x - 3 + 2/(x + 3)
d)
x + 6
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