Sign up for FREE

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.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Question 7

7.

Question 8

8.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Question 13

13.

Question 14

14.

Question 15

15.

Question 16

16.

Question 17

17.

Question 18

18.

Question 19

19.

Question 20

20.

Question 21

21.

Question 22

22.

Question 23

23.

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→_______ 

What is the remainder of the quotient. 

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

6

-96

36

0

What is the remainder of the quotient.

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

0

-5

105

5

What is the remainder of the quotient.

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

0

8

7

50

What is the end behavior of the following: 

y=(x^{7}+1)(x^{5}−2)(x^{3}+4) 

What is the end behavior of the following: 

y=(x^{3}+1)(x^{2}−3)(x-2) 

What is the end behavior of the following: 

y=-x^{5}+2x^{3}−5x^{2}+4x-3 

What is the end behavior of the following: 

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

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

Quartic Binomial

Quadratic Polynomial

Cubic Trinomial

Quintic Trinomial

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

Quartic Trinomial

Quadratic Polynomial

Quintic Polynomial

Quartic Polynomial

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

Constant Trinomial

Quadratic Polynomial

Quadratic Binomial

Quartic Polynomial

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

Constant Polynomial

Quintic Monomial

Cubic Trinomial

Quartic Monomial

What is the maximum number of zeros in this polynomial?

1

3

4

2

What is the maximum number of turns in this polynomial?

1

3

2

4

What is the maximum number of zeros in this polynomial?

3

4

2

5

What is the maximum number of turns in this polynomial?

2

4

3

5

Factor completely:

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

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) 

Which one correctly represents the root of 7i 

What is the inverse of f (x)?  
 

What is the inverse of f (x)?

What is the inverse of f (x)?

What is the inverse of h(x)?

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