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polynomials

Total questions: 13

Worksheet time: 10mins

Name
Class
Date
1.
(x+3)(x+1)
a)
x2+3x+3
b)
2x+4x+3
c)
x2+4x+3
d)
5x + 3
2.
Add to Simplify:
 (4x - 2x3) + (5x3 - 4x + 5)
a)
3x3 + 5
b)
3x3 + 8x + 5
c)
3x2 + 5
d)
7x3 + 8x + 5
3.

f(x)=(x+4)(x-3)(x-2)

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

4.
How many zeros does the polynomial function
 P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
5.
Identify the zeros:
a)
x=-2, x=-1, x=0
b)
x=-2, x=0
c)
x=-1, x=0, x=2
d)
x=-2, x=0, x=1
6.
a)
The function has an Even degree
b)
The function has a Negative coefficient
c)
The function has an Odd degree
d)
The function has 3 real zeros
7.
a)
Positive Odd
b)
Positive Even
c)
Negative Odd
d)
Negative Even
8.
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
9.
Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)
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)
10.
Which is true about the equation of the graph shown?
a)
The function has an Odd degree
b)
The function has an Even degree
c)
The function has 5 real zeros
d)
The function has a positive leading coefficient
11.
All imaginary roots comes in pairs.
a)
True
b)
False
12.
What is the degree of x(x + 2)(x - 3)?
a)
1
b)
2
c)
3
d)
4
13.

Expand into standard form


(x+2i)(x-2i)

a)

x2-4

b)

x2+4

c)

x+2i2

d)

x2+2i2