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

1

What is the remainder of the quotient.

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

1

What is the remainder of the quotient.

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

1

What is the remainder of the quotient.

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

1

What is the end behavior of the following:

y=(x^{7}+1)(x^{5}−2)(x^{3}+4)

1

What is the end behavior of the following:

y=(x^{3}+1)(x^{2}−3)(x-2)

1

What is the end behavior of the following:

y=-x^{5}+2x^{3}−5x^{2}+4x-3

1

What is the end behavior of the following:

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

1

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

1

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

1

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

1

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

1

What is the maximum number of zeros in this polynomial?

1

What is the maximum number of turns in this polynomial?

1

What is the maximum number of zeros in this polynomial?

1

What is the maximum number of turns in this polynomial?

1

Factor completely:

1

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

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)

1

Which one correctly represents the root of 7i

1

What is the inverse of f (x)?

10

What is the inverse of f (x)?

10

What is the inverse of f (x)?

10

What is the inverse of h(x)?

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

3

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

__________ , the following __________ because the remainder is __________

3

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

__________ , the following __________ because the remainder is __________

3

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

__________ , the following __________ because the remainder is __________

1

Factor the following:

1

Factor the following:

1

Factor the following:

1

Factor Completely:

given that f(4)=0

1

Factor Completely:

given that x=-2

6

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→_______ 

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

What is the remainder of the quotient. \frac{x^{2}+8x-84}{x-6}

What is the remainder of the quotient.\frac{n^{2}+11n+25}{n+5}

What is the remainder of the quotient.\frac{y^{2}-3y-20}{y-7}

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.

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

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

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

What is the maximum number of zeros in this polynomial?

What is the maximum number of turns in this polynomial?

What is the maximum number of zeros in this polynomial?

What is the maximum number of turns in this polynomial?

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!)

Factor the following:

Factor the following:

Factor the following:

Factor Completely:given that f(4)=0

Factor Completely:given that x=-2

What is the remainder of the quotient. \frac{x^{2}+8x-84}{x-6}

What is the remainder of the quotient.\frac{n^{2}+11n+25}{n+5}

What is the remainder of the quotient.\frac{y^{2}-3y-20}{y-7}

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.

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

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

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

What is the maximum number of zeros in this polynomial?

What is the maximum number of turns in this polynomial?

What is the maximum number of zeros in this polynomial?

What is the maximum number of turns in this polynomial?

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!)

Factor the following:

Factor the following:

Factor the following:

Factor Completely:given that f(4)=0

Factor Completely:given that x=-2

What is the remainder of the quotient.

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

What is the remainder of the quotient.

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

What is the remainder of the quotient.

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

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}

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)

What is the inverse of h(x)?

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

Factor Completely:

given that f(4)=0

Factor Completely:

given that x=-2

What is the remainder of the quotient.

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

What is the remainder of the quotient.

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

What is the remainder of the quotient.

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

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}

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)

What is the inverse of h(x)?

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

Factor Completely:

given that f(4)=0

Factor Completely:

given that x=-2