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Unit 7 Optional Review: Polynomial Expressions and Equations (Bartels M3H)

Last updated about 1 year ago

32 questions

Multiple Choice Practice

1

1

1

1

1

1

1

1

A.APR.1

1

A.APR.1

1

A.APR.1

1

A.APR.1

1

1

1

1

1

1

1

1

1

F.BF.4.a

F.IF.1

10

F.BF.4.a

F.IF.1

10

F.BF.4.a

F.IF.1

10

F.BF.4.a

Synthetic Division/Remainder Theorem

3

3

3

1

1

1

1

1

6

Question 1

1.

What is the remainder of the quotient.

\frac{x^{2}+8x-84}{x-6}

6

-96

36

0

Question 2

2.

What is the remainder of the quotient.

\frac{n^{2}+11n+25}{n+5}

0

-5

105

5

Question 3

3.

What is the remainder of the quotient.

\frac{y^{2}-3y-20}{y-7}

0

8

7

50

Question 4

4.

What is the end behavior of the following:

y=(x^{7}+1)(x^{5}−2)(x^{3}+4)

Question 5

5.

What is the end behavior of the following:

y=(x^{3}+1)(x^{2}−3)(x-2)

Question 6

6.

What is the end behavior of the following:

y=-x^{5}+2x^{3}−5x^{2}+4x-3

Question 7

7.

What is the end behavior of the following:

y=-x^{4}-3x^{2}

Question 8

8.

Rewrite the expression in standard form. Then, classify it by degree and leading coefficient.

Quartic Binomial

Quadratic Polynomial

Cubic Trinomial

Quintic Trinomial

Question 9

9.

Rewrite the expression in standard form. Then, classify it by degree and leading coefficient.

Quartic Trinomial

Quadratic Polynomial

Quintic Polynomial

Quartic Polynomial

Question 10

10.

Rewrite the expression in standard form. Then, classify it by degree and leading coefficient.

Constant Trinomial

Quadratic Polynomial

Quadratic Binomial

Quartic Polynomial

Question 11

11.

Rewrite the expression in standard form. Then, classify it by degree and leading coefficient.

Constant Polynomial

Quintic Monomial

Cubic Trinomial

Quartic Monomial

Question 12

12.

What is the maximum number of zeros in this polynomial?

1

3

4

2

Question 13

13.

What is the maximum number of turns in this polynomial?

1

3

2

4

Question 14

14.

What is the maximum number of zeros in this polynomial?

3

4

2

5

Question 15

15.

What is the maximum number of turns in this polynomial?

2

4

3

5

Question 16

16.

Factor completely:

Question 17

17.

Write the exact equation to the following graph if one point goes through (-1,1):

Question 18

18.

Which of the following represent the following:
- a point of inflection at (0,0)
- bounces off the x-axis at x=-3
- crosses at the zero (1,0)

Question 19

19.

Which one correctly represents the root of 7i

Question 20

20.

What is the inverse of f (x)?

Question 21

21.

What is the inverse of f (x)?

Question 22

22.

What is the inverse of f (x)?

Question 23

23.

What is the inverse of h(x)?

(this one is hard, see if you can do it!)

Question 24

24.

Is the following a factor
\frac{x^{3}+2x^{2}-22x-45}{x+5}

__________ , the following __________ because the remainder is __________

Question 25

25.

Is the following a factor
\frac{4x^{3}+23x^{2}-41x-42}{x+7}

__________ , the following __________ because the remainder is __________

Question 26

26.

Is the following a factor
\frac{p^{4}-7p^{2}-32p-15}{p-4} 

__________ , the following __________ because the remainder is __________

Question 27

27.

Factor the following:

Question 28

28.

Factor the following:

Question 29

29.

Factor the following:

Question 30

30.

Factor Completely:

given that f(4)=0

Question 31

31.

Factor Completely:

given that x=-2

Question 32

32.

Fill out the following based on the following polynomial. 


Even or Odd: _______ 
Positive or Negative_______ 
Factored Form: _______ 
x-intercepts: _______ (list from smallest to largest)
y-intercept: _______ 

End Behavior: 
as x→-∞, y→_______ 
as  x→∞, y→_______ 