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Graphing Polynomials

Total questions: 41

Worksheet time: 2hrs 46mins

Name
Class
Date
1.

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

d)

x=4, x= -3, x= -2

2.
How many zeros does the polynomial function
 P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
3.
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
4.
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
5.
a)
Positive Odd
b)
Positive Even
c)
Negative Odd
d)
Negative Even
6.
a)
A
b)
B
c)
C
d)
D
7.
Determine the y-intercept 
f(x) = x3 - 5x2 - 25x + 125
a)
(0,0)
b)
(0,25)
c)
(0,125)
d)
(0,5)
8.
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)
9.
a)
2
b)
1
c)
4
d)
cannot be determined
10.
a)
a
b)
b
c)
c
d)
d
11.
Which of the following could be the equation of the graph in factored form?
a)
y=-(x+1)(x-2)(x-4)
b)
y=(x+1)2(x-2)
(x-4)3
c)
y = x(x+1)(x-2)
(x-4)
d)
y=(x+1)3(x-3)
(x-1)2
12.
a)
A
b)
B
c)
C
d)
D
13.
What is the end-behavior of the function 
y = -x3 + 6x2 + 7x
a)
as x-> -∞  f(x) -> ∞
 as x-> ∞  f(x) -> -∞
b)
as x-> -∞ f(x) -> ∞
 as x-> ∞  f(x) -> ∞
c)
as x->-∞ f(x) -> -∞
 as x-> ∞   f(x) -> ∞
d)
as x-> -∞ f(x) -> -∞
 as x-> ∞ f(x) -> -∞
14.
Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4
Degree: 7
a)
(x + 5)3(x - 9)2
(x + 2)(x - 4)
b)
(x + 5)3(x - 9)2
(x + 2)7(x - 4)7
c)
(x + 5)3(x - 9)2(x + 2)
d)
(x + 5)(x - 9)(x + 2)
(x - 4)
15.
Which of the following MUST be true about 
the graph shown.
a)
It has a degree of
exactly 3
b)
It has a degree of
AT LEAST 3
c)
It has a degree of
AT LEAST 5
d)
It has a degree
of exactly 5
16.
Which of the following allows you to describe the end behavior of a polynomial?
a)
the degree and the constant
b)
the leading coefficient and the constant
c)
degree and the variable
d)
the degree and the leading coefficent
17.
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
18.
What are the zeros (x-intercepts)?
a)
x = 2,-2
b)
x = 2,-2,0
c)
x = 2,0
d)
x = -4,-2,2,0
19.

Is this polynomial ODD or EVEN?

f(x) = -7x3 + 11x5 - 4x6 + 113x

a)

ODD

b)

EVEN

20.
Use the Fundamental Theorem of Algebra to determine the total number of solutions.
a)
A
b)
B
c)
C
d)
D
21.
How many total roots/zeros are there in the polynomial.   
a)
A
b)
B
c)
C
d)
D
22.
Use the Rational Root Theorem to determine the list of possible rational roots.
a)
A
b)
B
c)
C
d)
D
23.
Which of the following is NOT a possible rational zero for p(x). 
a)
A
b)
B
c)
C
d)
D
24.
Find all the zeros of the polynomial. 
a)
A
b)
B
c)
C
d)
D
25.
Find the zeros of the polynomials
a)
A
b)
B
c)
C
d)
D
26.
Which of the following is NOT a possible rational root. 
a)
A
b)
B
c)
C
d)
D
27.
Find the zeros of the polynomial.
a)
A
b)
B
c)
C
d)
D
28.
Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)
a)
x = 5, (2/3), 6, (7/4)
b)
x= -5, (3/2), (-4/7), 6
c)
x= 5, (-3/2), (4/7), -6
d)
x= 6, 5, -2/3, -4/7
29.
Find the zeros of the polynomial given one factor.
a)
X= 3,4,5
b)
x=-3,-4,-5
c)
x=-3,4,5
d)
x= 3, -4, -5
30.
Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i
a)
-7+5i
b)
7-5i
c)
-7-5i
d)
7+5i
31.
Given one complex zero use the conjugate root theorem to find another.  Zero is: -12-8i
a)
12+8i
b)
-12+8i
c)
12-8i
d)
-12-8i
32.
Find the zeros of the polynomial when given factored form. 
a)
A
b)
B
c)
C
d)
D
33.
What is the Fundamental Theorem of Algebra?
a)
The degree of the polynomial determines what the x value will be
b)
The degree of the polynomial tells us how many solutions the polynomial will have.
c)
The number of possible rational zeros
d)
States that a complex number and its conjugate are solutions
34.
Find all zeros.
a)
x= 3,1,1/3
b)
x= -3, -1, -1/3
c)
x = -3, 1, 1/3
d)
x = 3, -1, -1/3
35.

" A whole new world, a dazzling place I never knew. But when I'm way up here, its crystal clear that now I'm in a whole new world with you. Unbelievalble sights."

a)

Jasmine

b)

Belle

c)

Cinderella

d)

Snow white

36.

" Let's get down to business, to defeat the huns. Did they send me daughters when I asked for sons? Your the saddest bunch I've ever met. But you can bet before we're through.

Mister, I'll make a man out of you."

a)

Naven

b)

Shang

c)

Aladdin

d)

Eric

37.

"Gotta keep

One jump ahead of the breadline.

One swing ahead of the sword.

I steal only what I can't afford.

(That's Everything!)

One jump ahead of the lawmen.

That's all, and that's no joke.

These guys don't appreciate I'm broke."

a)

Aladdin

b)

Naven

c)

Eric

d)

Prince Charming

38.

"The seaweed is always greener.

In somebody else's lake.

You dream about going up there.

But that is a big mistake.

Just look at the world around you.

Right here on the ocean floor.

Such wonderful things surround you.

What more is you lookin' for?

Under the sea"

a)

Sebastian

b)

Flounder

c)

Black fish

d)

Ariel

39.

" Look at me.

I will never pass for a perfect bride.

Or a perfect daughter.

Can it be I'm not meant to play this part.

Now I see

That if I were truly to be myself, I would break my family's heart.

Who is that girl I see"

a)

Jasmine

b)

Mulan

c)

Merida

d)

Cinderella

40.

"I've been staring at the edge of the water

Long as I can remember, never really knowing why.

I wish I could be the perfect daughter

But I come back to the water, no matter how hard I try.

Every turn I take, every trail I track

Every path I make, every road leads back.

To the place I know, where I can not go, where I long to be. "

a)

Moana

b)

Auroara

c)

Jasmine

d)

Mulan

41.

" The snow glows white on the mountain tonight.

Not a footprint to be seen.

A kingdom of isolation

And it looks like I'm the queen.

The wind is howling like this swirling storm inside.

Couldn't keep it in, heaven knows I've tried.

Don't let them in, don't let them see."

a)

Anna

b)

Elsa

c)

Mulan

d)

Cinderella

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