Pre Calc Checkup 3
Name: Trisha Lindsay
Date: November 14, 2014
Graded Assignment
Checkup: Polynomial Expressions
Answer the following questions using what you've learned from this unit. Write your responses in the space provided, and turn the assignment in to your instructor.
State the degree of each polynomial.
1. _6_
2. _10_
3. _3_
Classify each expression as a polynomial or not. If the expression is a polynomial, name it according to its degree and its number of terms.
4.
Not a Polynomial
5.
Quintic Polynomial
6.
Not a Polynomial
7.
Not a Polynomial
Write the polynomial in standard form, then identify its leading coefficient and constant term.
8. Standard form: 11x^3 + 6x^2 + 2x
Leading coefficient: 11 Constant term: none/0
9. Standard form: x^4 – 11x^3 + 36x^2 + 5
Leading coefficient: 1 Constant term: 5
10. Standard form: x^4y + x^2y^2 + 7
Leading coefficient: 1 Constant term: 7
State the maximum possible number of "turns" in the graph of each polynomial.
11. Max. Possible Turns: 5 -1 = 4
12. Max. Possible Turns: 3 – 1 = 2
Complete the statements by filling in the blanks for each polynomial:
Polynomial
Right End Behavior
Left End Behavior
13.
As , positive infinity.
As , negative infinity.
14.
As , positive infinity.
As , positive infinity.
15.
As , negative infinity.
As , negative infinity.
16.
As , positive infinity.
As , negative infinity.
17.
As , positive infinity.
As , positive infinity.
18.
As , negative infinity.
As , positive infinity.
Match each polynomial with its graph:
19. __B__
20. __D__
21. __A__
22. __C__
A. B.
C. D.
Calculate each value using direct substitution or synthetic substitution.
23. ;
= (2)^3 + 5(2)^2 – 4(2) + 5 = 8 + 20 – 8 + 5 = 25 (2, 25)
24. ; = -3(-1)^4 + 2(-1)^3 + 6(-1)^2 –(-1) + 6 = -3(1) + 2(-1) + 6(1) +1 + 6
Date: November 14, 2014
Graded Assignment
Checkup: Polynomial Expressions
Answer the following questions using what you've learned from this unit. Write your responses in the space provided, and turn the assignment in to your instructor.
State the degree of each polynomial.
1. _6_
2. _10_
3. _3_
Classify each expression as a polynomial or not. If the expression is a polynomial, name it according to its degree and its number of terms.
4.
Not a Polynomial
5.
Quintic Polynomial
6.
Not a Polynomial
7.
Not a Polynomial
Write the polynomial in standard form, then identify its leading coefficient and constant term.
8. Standard form: 11x^3 + 6x^2 + 2x
Leading coefficient: 11 Constant term: none/0
9. Standard form: x^4 – 11x^3 + 36x^2 + 5
Leading coefficient: 1 Constant term: 5
10. Standard form: x^4y + x^2y^2 + 7
Leading coefficient: 1 Constant term: 7
State the maximum possible number of "turns" in the graph of each polynomial.
11. Max. Possible Turns: 5 -1 = 4
12. Max. Possible Turns: 3 – 1 = 2
Complete the statements by filling in the blanks for each polynomial:
Polynomial
Right End Behavior
Left End Behavior
13.
As , positive infinity.
As , negative infinity.
14.
As , positive infinity.
As , positive infinity.
15.
As , negative infinity.
As , negative infinity.
16.
As , positive infinity.
As , negative infinity.
17.
As , positive infinity.
As , positive infinity.
18.
As , negative infinity.
As , positive infinity.
Match each polynomial with its graph:
19. __B__
20. __D__
21. __A__
22. __C__
A. B.
C. D.
Calculate each value using direct substitution or synthetic substitution.
23. ;
= (2)^3 + 5(2)^2 – 4(2) + 5 = 8 + 20 – 8 + 5 = 25 (2, 25)
24. ; = -3(-1)^4 + 2(-1)^3 + 6(-1)^2 –(-1) + 6 = -3(1) + 2(-1) + 6(1) +1 + 6