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Mathematics
10th -
12thgrade
Finding Zeros of Polynomials / Fundamental Theorem of Algebra
16 questions
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- 1. Multiple ChoiceThe degree of the polynomial determines the number of roots.TrueFalse
- 2. Multiple Choice-3x2+x+4=0
How many roots does this equation have?2104 - 3. Multiple ChoiceThis equation has 2 roots.This equation has 4 roots.This equation has 5 roots.This equation has no roots.
- 4. Multiple Choice
Find all the real zeros of the function
y = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.
x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6
- 5. Multiple Choice
Find all zeroes given a factor of (x+3).
f(x) = 2x3 + 5x2 - 6x - 9
-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1
- 6. Multiple ChoiceIs (x-3) a factor of
(x3 - 3x2 + 2x + 2)?YesNo - 7. Multiple ChoiceWhat is the total number of roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 104567 - 8. Multiple ChoiceUse the Fundamental Theorem of Algebra to determine the total number of roots.ABCD
- 9. Multiple Choice
Find all the real zeros of the function
f(x) = 2x3 - 19x2 + 38x + 24 given that (x-4) is a factor.
x = 1/2, -6
x = -1/2, 6
x = 4, -1/2, 6
x = -4, 1/2, -6
- 10. Multiple Choice
What are the zeros of f(x) = x2+9x+14
2, 7
-2, -7
2, -7
-2, 7
- 11. Multiple Choice
Identify the zeros of f(x) = x2-36 .
4, -9
6, -6
18, -18
36, -36
- 12. Multiple Choice
What are the zeros of f(x) = m2-9m+20?
4, 5
-4, -5
2, 10
-2, -10
- 13. Multiple Choicef(x)=(x+4)(x-3)(x-2)
List the zeros for this function.x=-4, x=3, x=-2x=-4, x=3, x=2x=-4, x=-3, x=2x=4, x=3, x=2 - 14. Multiple ChoiceUse the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.ABCD
- 15. Multiple Choice
Find all zeros, one factor has been given.
f(x) = x3-3x2-x+3; (x-3)
2,4,3
-1,1,3
3,2,1
4,5,6
- 16. Multiple Choice
Find all solutions, one factor has been given.
f(x) =x3-3x2-25x+75; (x-5)
5,-3,5
5,5,5
3,-5,5
1,1,1
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