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- 1. Multiple Choice
What is another way to say "where a function crosses the x-axis"?
x-intercept
zero
root
all of these.
- 2. Multiple Choice
The degree of the polynomial determines the max number of roots.
True
False
- 3. Multiple ChoiceFactor
x2 -16x + 48(x - 12)(x - 4)(x + 6)(x - 8)(x + 12)(x - 4)(x -16)(x - 3) - 4. Multiple Choice
is -3 a POSSIBLE zero of
no, 3 is not a factor of 3
yes
no, 2 is not a factor of 3
no, 3 is not a factor of 2
- 5. Multiple Choice
List the ACTUAL rational zeros of
f(x) = x³ + 7x² - 2x -14 ?
7, 2
7
- 7
- 6. Multiple Choice
List the possible rational zeros of
f(x) = x3 - 4x2 -4x + 16
1, 2, 4, 8, 16
-2 and-4
- 7. Multiple ChoiceHow could you determine if x-2 is a factor of 2x³-5x²+x-2?Use synthetic division and see if the quotient is evenAsk the person sitting next to meUse synthetic division and see if the remainder is zeroFlip a coin
- 8. Multiple ChoiceIf a zero of a polynomial function has multiplicity 4 that means:The x intercept is at (4, 0)The graph will "bounce back" at that zeroThe graph will "pass through" at that zeroZeros cannot have multiplicity of 4
- 9. Multiple Choice
Match the graph to the functionf(x)= -x2+3x+2f(x) = -x3+2f(x) = x3+2f(x) = ⅓x⁴-5x²+2 - 10. Multiple ChoiceMatch the graph to the functionf(x) = -x⁴-x³+5x²-6f(x) = x⁴+3x²-3x+1f(x) = -x³+2x²-x-6f(x) = x⁴+x³+5x²-6
- 11. Multiple Choice
f(x) = 2x3 - 3x2 + 4x -10
State the maximum number of turns the graph of f(x) could make.
3
2
1
0
- 12. Multiple Choice
f(x) = 2x3 - 3x2 + 4x -10
What is the degree of f(x)?
3
2
1
0
- 13. Multiple ChoiceHow many roots or zeros does the equation
f(x) = 5x4-8x3+4x2-6x+3 have?3450 - 14. Multiple ChoiceDoes this graph have an absolute minimum?YesNo
- 15. Multiple Choice(2x3 + 5x2 + 9) ÷ (x + 3)2x2 - x + 32x3 - x2 + 3x2x2 + 11x + 33 + 108/x+32x2 - 5x + 12
- 16. Multiple ChoiceIs (x-2) a factor of f(x)= x3-8x2+14x-4?Yes, (x-2) is a factor. There is a remainder.No, (x-2) is not a factor. The remainder is zero.Yes, (x-2) is a factor. The remainder is zero.No, (x-2) is not a factor. There is a remainder.
- 17. Multiple ChoiceWhat does it mean to be a factor of a number?Divides evenly with a remainder of zero.Divides unevenly with a remainder of 1.
- 18. Multiple ChoiceIf 𝒙2+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?0-395
- 19. Multiple ChoiceWhat should be the order of the polynomial coefficients if
(3x - 4x3 + 6x4 + 1) / (x + 3)3 0 -4 6 16 -4 3 1 06 -4 0 3 1-6 4 0 -3 -1 - 20. Multiple ChoiceIs this division problem worked correctly?This is correct!This is incorrect!
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