Question

HELP PLS

Answer 1

1. (04.01)
What is the quotient (91y3 + 21y2 − 35y) ÷ 7y? (1 point)


13y2 − 3y − 3
13y2 − 3y + 5
13y3 + 3y2 − 5y
13y2 + 3y − 5



2. (04.01)
What is the quotient (2x2 + 10x + 12) ÷ (x + 3)? (1 point)


2x + 6
2x − 6
2x + 4
2x − 4, r = 1



3. (04.02)
Using synthetic division, what is the quotient (3x3 + 4x − 32) ÷ (x − 2)? (1 point)


3x2 + 6x − 16
3x2 − 6x + 16
3x2 + 6x + 16
3x2 − 6x − 16 + 1 over the quantity of x minus 2



4. (04.02)
What is the remainder when (3x4 + 2x3 − x2 + 2x − 9) ÷ (x + 2)? (1 point)


0
5
10
15



5. (04.03)
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 15x23 + 41x19 + 13x5− 10 have? (1 point)


3
5
19
23



6. (04.03)
What are the zeros of the polynomial function f(x) = x3 − 10x2 + 24x? (1 point)


−6, 0, 4
6, 0, −4
−6, 0, −4
6, 0, 4



7. (04.04)
What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x + 12? (1 point)


± 1, ± 2, ± 3, ± 4, ± 6, ± 12
± 1, ± 2, ± 3, ± 4, ± 5, ± 6, ± 7, ± 8, ± 9, ± 10, ± 11, ± 12
1, 2, 3, 4, 6, 12
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12



8. (04.04)
What are the possible numbers of positive, negative, and complex zeros of f(x) = 3x4 − 5x3 − x2 − 8x + 4? (1 point)


Positive: 2 or 0; negative: 2 or 0; complex: 4 or 2 or 0
Positive: 2 or 0; negative: 2 or 0; complex: 4 or 2
Positive: 3 or 1; negative: 1; complex: 2 or 0
Positive: 4 or 2 or 0; negative: 2 or 0; complex: 4 or 2 or 0



9. (04.05)
Which of the following represents the zeros of f(x) = 6x3 + 25x2 − 24x + 5? (1 point)


−5, one third , one half
5, − one third , one half
5, one third , − one half
5, one third, one half



10. (04.05)
Which of the following is a polynomial with roots negative square root of 3 , square root of 3 , and −2? (1 point)


x3 − 2x2 − 3x + 6
x3 + 2x2 − 3x − 6
x3 − 3x2 − 5x + 15
x3 + 3x2 − 5x − 15



11. (04.07)
Select the graph and the description of the end behavior of f(x) = x3 − 2. (1 point)


graph that decreases from left to right that passes through ordered pairs negative 2, 10; negative 1, 3; 0, 2; 1, 1; and 2, negative 6
This is a cubic function. The end behavior of the graph will decrease to the right and increase to the left.
graph that increases from left to right that passes through ordered pairs negative 2, negative 6; negative 1, 1; 0, 2; 1, 3; and 2, 10
This is a cubic function. The end behavior of the graph will increase to the right and decrease to the left.
graph that increases from left to right that passes through ordered pairs negative 2, negative 10; negative 1, negative 3; 0, negative 2; 1, negative 1; and 2, 6
This is a cubic function. The end behavior of the graph will increase to the right and decrease to the left.
graph that decreases from left to right that passes through ordered pairs negative 2, 6; negative 1, negative 1; 0, negative 2; 1, negative 3; and 2, negative 10
This is a cubic function. The end behavior of the graph will decrease to the right and increase to the left.



12. (04.07)
What are the coordinates of the turning point for the function f(x) = (x − 2)3 + 1? (1 point)


(−2, −1)
(−2, 1)
(2, −1)
(2, 1)



13. (04.07)
What is the end behavior of the function f(x) = x3 + 2x2 + 4x + 5? (1 point)


Up on the left, up on the right
Up on the left, down on the right
Down on the left, up on the right
Down on the left, down on the right



14. (04.07)
Use the table below of the function f(x) = x4 − 2x3 to answer this question:


x

f(x)


−1

3


0

0


1

−1


2

0


3

27


What is the average rate of change from x = −1 to x = 2? (1 point)


−3
−1
1
24



15. (04.07)
Use the following graph of the function f(x) = 2x4 + 3x2 − x + 1 to answer this question:

graph of 2x to the fourth, plus 3x squared, minus x plus 1

What is the average rate of change from x = 0 to x = 1? (1 point)


0
1
4
5



16. (04.07)
Use the following graph of the function f(x) = 2x3 + x2 − 3x + 1 to answer this question:

graph of 2x cubed plus x squared minus 3x plus 1

What is the average rate of change from x = −1 to x = 1? (1 point)


−1
1
2
4



17. (04.07)
Approximate the real number solution(s) to the polynomial function f(x) = x3 − 2x2 − 5x + 6. (1 point)


x = −3, x = −1, x = 2
x = 3, x = 1, x = −2
x = 3, x = −1, x = 2
x = −3, x = 1, x = −2



18. (04.07)
Which of the following graphs represents the function f(x) = x2 + x − 6? (1 point)


graph with 4 real zeros, down on left, down on right
graph with 3 real zeros, down on left, up on right
graph with 3 real zeros, up on left, down on right
graph with 4 real zeros, up on left, up on right



19. (04.07)
Which of the following graphs represents the function f(x) = −x2 − x + 6? (1 point)


graph with 2 real zeros, up on left, up on right
graph with 2 real zeros, down on left, down on right
graph with 4 real zeros, up on left, up on right
graph with 3 real zeros, upon left, down on right



20. (04.07)
Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)? (1 point)


Graph opens the same way and is narrower
Graph opens the same way and is wider
Graph opens the opposite way and is narrower
Graph opens the opposite way and is wider



21. (04.07)
Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x + 3)? (1 point)


Shift to the right 3 units
Shift to the left 3 units
Shift up 3 units
Shift down 3 units



22. (04.07)
Use the graph of a translated function below to answer this question:

cubic graph going through turning point of (3, 2)

Given the parent function of f(x) = x3, what is the value of k in the translated graph of f(x − h) + k? (1 point)


k = −3
k = −2
k = 2
k = 3



23. (04.08)
What polynomial identity should be used to prove that 19 = 27 − 8? (1 point)


Difference of Cubes
Difference of Squares
Square of Binomial
Sum of Cubes



24. (04.08)
What polynomial identity should be used to prove that 117 = 125 − 8? (1 point)


Difference of Cubes
Difference of Squares
Square of Binomial