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- 1. Multiple Choice
Find the zeros of the polynomial given one factor.X= 3,4,5x=-3,-4,-5x=-3,4,5x= 3, -4, -5 - 2. Multiple ChoiceFind all rational zeros, one zero has been given.
f(x) = x3-5x2-2x+24; -2-2,1,0-2,-3,-44,3,-20,0,0 - 3. Multiple Choice
Which best describes the multiplicity of a root?
It is the number of times the corresponding factor is repeated
It is the highest degree of the polynomial
It is the number of times x is multiplied by itself
It is the number of x-intercepts on a graph
- 4. Multiple Choice
The degree of a polynomial determines...
the maximum number of x-intercepts
the number of turning points
if the end behavior is up or down
the y-intercept
- 5. Multiple ChoiceWhich of these is a possible root of the polynomials?
x3 - 6x2 - x + 3004-9-15 - 6. Multiple Choice
Find the zeros of the polynomial given one factor. Use synthetic division.
X= 3,4,5
x=-3,-4,-5
x=-3,4,5
x= 3, -4, -5
- 7. Multiple ChoiceSelect polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4
Degree: 7(x + 5)3(x - 9)2
(x + 2)(x - 4)(x + 5)3(x - 9)2
(x + 2)7(x - 4)7(x + 5)3(x - 9)2(x + 2)(x + 5)(x - 9)(x + 2)
(x - 4) - 8. Multiple Choice
Solve by using Rational Root Theorem:
x3 - 7x - 6 = 0
1, 2, 3
-1, -2, 3
-1, -2, - 3
1,-2,-3
- 9. Multiple Choice
Find all zeros.
- 10. Multiple Choice
Which x-value is a root of the function below?
f(x) = x3 + 4x2 + 9x + 36
x = 3
x = -3
x = 4
x = -4
- 11. Multiple Choice
Given f(x) = 3x3-4x2-28x-16.
Which number below is zero of f(x)?
8
-2
6
1
- 12. Multiple Choice
If f(x) = 2x3-9x2-123x-220, which value below is a root?
18
4
11
-7
- 13. Multiple Choice
If f(x) = 2x3-13x2+36, is x = 6 an x-intercept?
No, because f(6) = 30
Yes, because f(6) = 0
Yes, because f(6) = 30
No, because f(6) = 0
- 14. Multiple ChoiceFind all zeros for the polynomial
P(x) = x3 -3x2-5x+153, √53, √5, -√5-3, √5, -√5-3, 5i, -5i - 15. Multiple ChoiceFInd all zeros for the polynomial
f(x) = x4+8x2-9-1, ⅓, ±3i½, -1, ±3i1, -1, ±i√111, -1, ±3i - 16. Multiple Choice
What are the zeros for this function?
- 17. Multiple Choice
Using synthetic division, find the remaining factors of
(x3 +x2 -17x +15) if (x -1) is a factor?
*FACTOR COMPLETELY*
(x + 5)(x - 3)
(x + 5)(x + 3)
(x - 5)(x + 3)
(x - 5)(x - 3)
- 18. Multiple Choice
2
3
4
5
- 19. Multiple Choice
- 20. Multiple Choice
If (x + 1) and (x + 3) are two factors of x3 - x2 - 17x - 15, find the other one.
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