When a polynomial function f(x) is divided by (x - 8), the remainder is 12. What is f(8)?
-8
8
12
cannot be determined
2. Multiple Choice
2 minutes
1 pt
When a polynomial function f(x) is divided by (x + 2), the remainder is 0. What is f(2)?
-8
8
12
cannot be determined
3. Multiple Choice
2 minutes
1 pt
When a polynomial function f(x) is divided by (x + 2), the remainder is 0. What is f(-2)?
-2
0
2
cannot be determined
4. Multiple Choice
2 minutes
1 pt
If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?
x = -3
x = 3
x = 0
cannot be determined
5. Multiple Choice
2 minutes
1 pt
When setting up this synthetic division, what polynomial is being divided?
2x4 + 3x2 - x + 2
2x4 + 3x3 - x2 + 2
2x4 - 3x2 + x - 2
cannot be determined
6. Multiple Choice
2 minutes
1 pt
When setting up this synthetic division to divide 2x4 + 3x2 - x + 2 by (x - 1), what number goes into the red circle?
-1
1
2
cannot be determined
7. Multiple Choice
1 minute
1 pt
Polynomial equation x4 - 4x3 + 5x2 - 4x + 4 = 0 has a solution of x = 2. Is this synthetic division set up correctly in order to find factors of the polynomial?
yes
no
8. Multiple Choice
1 minute
1 pt
Polynomial function f(x) = x4 - 4x3 + 5x2 - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?
yes
no
9. Multiple Choice
1 minute
1 pt
(x - 2) divides polynomial function f(x) = x4 - 4x3 + 5x2 - 4x + 4 two times. What numbers should be used to set up the second synthetic division if the goal is to factor f(x)?
1 -4 5 -4 4
1 -2 1 -2
2 -4 2 -4
cannot be determined
10. Multiple Choice
5 minutes
1 pt
(x - 2) divides polynomial function f(x) = x4 - 4x3 + 5x2 - 4x + 4 two times. Which of these is a complete factorization of f(x)?
(x - 2)2(x - 1)(x + 1)
(x - 2)2 (x + 1)
(x - 2)2(x2 + 1)
cannot be determined
11. Multiple Choice
1 minute
1 pt
This is the correct end behavior model for the function y = (x - 2)2(x2 + 1)
true
false
12. Multiple Choice
1 minute
1 pt
This is the correct end behavior model for the function y = -2 (x - 2)3(x2 + 1)
true
false
13. Multiple Choice
1 minute
1 pt
These functions have the same end behavior model: y1 = 3x5 + 2x3 + x - 1 and y2 = 3x2(2x3 + 4x + 2)
true
false
14. Multiple Choice
3 minutes
1 pt
Which of these describes end behavior for the polynomial y = 3x4 + 2x3 - 7?
a
b
c
d
15. Multiple Choice
3 minutes
1 pt
Which of these describes end behavior for the polynomial y = 3x5 + 2x3 - 7?
a
b
c
d
16. Multiple Choice
3 minutes
1 pt
Which of these polynomials has end behavior described in option c?
y= (x2 + 3)(x + 2)
y = -3x(x + 4)3
y = -3x(x + 2)4
none of these
17. Multiple Choice
5 minutes
1 pt
Factor this expression: 2x3 + 2x2 - 24x
2x(x + 4)(x - 3)
2x(x - 4)(x - 3)
2x(x - 4)(x + 3)
none of these
18. Multiple Choice
5 minutes
1 pt
Find the zeros of this polynomial and describe their multiplicity. f(x) = 3x4 - 12x2