Deck 5: Polynomials, Polynomial Functions, and Equations
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Deck 5: Polynomials, Polynomial Functions, and Equations
1
What is the classification of the polynomial
?
A) monomial
B) 1st degree binomial
C) trinomial
D) binomial
E) 3rd degree monomial

A) monomial
B) 1st degree binomial
C) trinomial
D) binomial
E) 3rd degree monomial
monomial
2
Subtract. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)


3
Graph the polynomial function
. Check your work with a graphing calculator.
A)
B)
C)
D)

A)

B)

C)

D)


4
Simplify the algebraic expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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5
Find the sum when
is added to the sum of
and
.
A)
B)
C)
D)
E) none of these



A)

B)

C)

D)

E) none of these
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6
Find the degree of the polynomial
.
A) 16
B) 11
C) 7
D) 14
E) 9

A) 16
B) 11
C) 7
D) 14
E) 9
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7
Simplify the expression. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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8
Find the degree of the polynomial 10.
A) -2
B) 2
C) 1
D) 0
E) 10
A) -2
B) 2
C) 1
D) 0
E) 10
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9
Draw the graph using a translation of the graph of
. 
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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10
Find f ( c ) either by using synthetic division and the remainder theorem or by evaluating f ( c ) directly. f ( x ) = 7 x 4 - 7 x 3 - 6 x 2 - 8 x - 3 and c = 6
A) 7,299
B) 7,296
C) 7,293
D) 14,586
E) 7,290
A) 7,299
B) 7,296
C) 7,293
D) 14,586
E) 7,290
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11
Simplify the expression. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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12
Simplify the expression. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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13
Graph the polynomial function .
Check your work with a graphing calculator.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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14
Simplify the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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15
What is the classification of the polynomial
.
A) 3rd degree monomial
B) binomial
C) trinomial
D) monomial
E) none of these

A) 3rd degree monomial
B) binomial
C) trinomial
D) monomial
E) none of these
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16
Simplify the expression. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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17
If
, find the value of
.
A) 3
B) 0
C) 2
D) 4
E) 1


A) 3
B) 0
C) 2
D) 4
E) 1
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18
Find the degree of the polynomial
.
A) 3
B) 6
C) 7
D) 15
E) 22

A) 3
B) 6
C) 7
D) 15
E) 22
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19
Evaluate
for
.
A) -7
B) -5
C) 5
D) -4
E) -3


A) -7
B) -5
C) 5
D) -4
E) -3
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20
What is the classification of the polynomial
?
A) binomial
B) 2nd degree binomial
C) trinomial
D) 3rd degree monomial
E) monomial

A) binomial
B) 2nd degree binomial
C) trinomial
D) 3rd degree monomial
E) monomial
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21
Find the product. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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22
Simplify the expression. Assume that the variable represents a positive number. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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23
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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24
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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25
Multiply. ( t + 10)( t
6)
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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26
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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27
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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28
Find the indicated product. ( a + 7 b )( x + y )
A) ax + 9 bx + ay + 8 by
B) ax + 7 bx + ay + by
C) ax + 7 bx + ay + 7 by
D) ax + 8 bx + ay + 7 by
E) ax + bx + ay + 8 by
A) ax + 9 bx + ay + 8 by
B) ax + 7 bx + ay + by
C) ax + 7 bx + ay + 7 by
D) ax + 8 bx + ay + 7 by
E) ax + bx + ay + 8 by
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29
Find the indicated product by applying the distributive property and combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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30
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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31
Simplify the expression. 

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32
Multiply. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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33
Subtract. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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34
An object has been thrown straight up into the air. The formula
gives the height h of the object above the ground after t seconds, when it is thrown upward with an initial velocity v . After how many seconds will an object hit the ground if it is thrown with a velocity of 240 feet per second?
A)
sec
B)
sec
C)
sec
D)
sec
E)
sec

A)

B)

C)

D)

E)

Unlock Deck
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35
Find the product. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 90 flashcards in this deck.
Unlock Deck
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36
Simplify the following expression and express final results using positive exponents only.
For example,
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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37
Find the product. 
A)
B)
C)
D)
E) none of these

A)

B)

C)

D)

E) none of these
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38
Find the product. 

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39
Find the indicated product by applying the distributive property and combining similar terms. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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40
In major league baseball, the distance between bases is 30 feet greater than it is in softball. The bases in major league baseball mark the corners of a square that has an area 4,500 square feet greater than for softball. Find the distance between the bases in baseball.
A) 30 ft
B) 60 ft
C) 45 ft
D) 90 ft
A) 30 ft
B) 60 ft
C) 45 ft
D) 90 ft
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41
Find the prime factored form of the number. 50
A)
B)
C)
D)
A)

B)

C)

D)

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42
Factor the polynomial completely. 
A) (8 + y ) (8 + 7 y )
B) (8 - 7 y ) (8 + 7 y )
C) (64 - 7 y ) (64 + 7 y )
D) (8 - 49 y ) (8 + 49 y )

A) (8 + y ) (8 + 7 y )
B) (8 - 7 y ) (8 + 7 y )
C) (64 - 7 y ) (64 + 7 y )
D) (8 - 49 y ) (8 + 49 y )
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43
Find the GCF of
and
.
A)
B)
C)
D)


A)

B)

C)

D)

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44
Factor the polynomial. 
A)
B)
C)
D)

A)

B)

C)

D)

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45
Factor out the greatest common factor. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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46
Find the GCF of
,
and
.
A)
B)
C)
D)



A)

B)

C)

D)

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47
Factor the expression. Factor out any greatest common factors first. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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48
Solve the formula
for the variable
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

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49
Use the divisibility rules to help determine the prime factorization of the following number. 62
A)
B)
C)
D)
E) none of these
A)

B)

C)

D)

E) none of these
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50
Solve the formula
for the variable
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
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51
Completely factor the expression. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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52
Use the difference of squares pattern to factor the polynomial. 
A)
B)
C)
D)

A)

B)

C)

D)

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53
Factor the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 90 flashcards in this deck.
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54
Factor out the greatest common factor. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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55
Solve the formula
for the variable
.
A)
B)
C)
D)
E)


A)

B)

C)

D)

E)

Unlock Deck
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56
Factor the polynomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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57
Find the prime factored form of the number. 357
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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58
Factor out the greatest common factor. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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59
Factor the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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60
Find the GCF of
,
and
.
A)
B)
C)
D)



A)

B)

C)

D)

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61
Factor a polynomial with four terms by grouping a trinomial. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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62
Factor the expression, if possible. Factor out any GCF first (including -1 if the leading coefficient is negative). 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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63
Factor the polynomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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64
Factor the expression. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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65
Factor the trinomial, if possible. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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66
Factor the trinomial completely. 
A)
B)
C)
D)
E) not factorable

A)

B)

C)

D)

E) not factorable
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67
Factor: 

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68
Factor the trinomial. Factor out
1 first. 
A) ( b
3) ( b
2)
B)
( b
3) ( b
2)
C)
( b + 3) ( b
2)
D) ( b + 3) ( b
2)
E)
( b
3) ( b + 2)


A) ( b


B)



C)


D) ( b + 3) ( b

E)


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69
Factor the polynomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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70
Factor the expression. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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71
Factor the expression. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
Unlock Deck
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72
Factor a polynomial with four terms by grouping a trinomial. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
Unlock Deck
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73
Factor the trinomial completely. 
A) ( y - 2)(16 y - 12)
B) 16 ( y + 1)( y - 3)
C) 4 ( y + 2)(4 y - 3)
D) (4 y + 8)(4 y - 3)
E) not factorable

A) ( y - 2)(16 y - 12)
B) 16 ( y + 1)( y - 3)
C) 4 ( y + 2)(4 y - 3)
D) (4 y + 8)(4 y - 3)
E) not factorable
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74
Factor the expression, if possible. Factor out any GCF first (including -1 if the leading coefficient is negative). 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
Unlock Deck
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75
Factor the expression. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
Unlock for access to all 90 flashcards in this deck.
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k this deck
76
Factor a polynomial with four terms by grouping a trinomial. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
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77
Factor: 

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78
Factor the polynomial. 
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

Unlock Deck
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79
Factor: 

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80
Completely factor the expression. 
A)
B)
C)
D)
E) prime

A)

B)

C)

D)

E) prime
Unlock Deck
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