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- 1. Multiple Choice
Use the Fundamental Theorem of Algebra to determine the total number of roots.ABCD - 2. Multiple ChoiceUse the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.ABCD
- 3. Multiple ChoiceWhat is the total number of roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 104567 - 4. Multiple ChoiceThe degree of the polynomial determines the number of roots.TrueFalse
- 5. Multiple Choice
What is another word for zeros?
solutions
x -intercepts
roots
All of the these!
- 6. Multiple ChoiceThe largest exponent determines the degree of the polynomial.TrueFalse
- 7. Multiple Choice-3x2+x+4=0
How many roots does this equation have?2104 - 8. Multiple ChoiceHow many zeros does the following function have?
f(x)= x5 - 3x3 + x8953 - 9. Multiple ChoiceWhat are all the possible rational roots of x3 - 4x2 + 5x - 12?+-1, +-2, +-3, +-4, +-6, +-12+-1, +-2, +-3, +-4, +-6+-2, +-3, +-4, +-6, +-12+-1, +-2, +-4, +-6, +-12
- 10. Multiple ChoiceWhich of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 3x3 + 2x2 - 6x + 7±1, ±7, ±1/3, ±7/3±1, 7±1, ±3, ±7, ±7/3±1, ±3, ±7, ±1/3, ±7/3 - 11. Multiple Choice
According to the Rational Root Theorem, what are the all possible rational roots?
2x3 - 11x2 + 12x + 9 = 0
±1,±2
±1,±3,±9
±1,±3±9,±1/2,±3/2,±9/2
±1,±2,±1/3,±2/3,±1/9,±2/9
- 12. Multiple Choice
List all of the possible rational zeros
p(x) = 3x2+x+7
-1/3, -7/3, -1, -7, 1/3,7/3,1,7
1/3,7/3,1,7
1, 7, 14, 21
- 13. Multiple ChoiceWhich of the following is a COMPLETE list of all possible Rational Zeros?
f(x) = 2x3 + 5x2 - 9x + 5±1, ±5, ±1/2, ±5/2±1, ±2, ±5, ±1/2, ±5/2±1, ±5±1, ±2, ±5, ±1/2, ±5/2, ±2/5 - 14. Multiple ChoiceDetermine the roots of the polynomial.
f(x) = -x(x+1)(x-3)-1, 30, -1, 31, -30, -3, 1 - 15. Multiple ChoiceDetermine the roots of the polynomial.
f(x) = -6x(x+4)(x-2)0, -4, 2-6, -4, 2-6, 4, -20, 4, -2 - 16. 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
- 17. Multiple Choice
Find all zeroes given a factor of (x+3).
y = 2x3 + 5x2 - 6x - 9
-1,-3,-3
-1,-3,3/2
3,3,3
-3,2/3,-1
- 18. Multiple Choice
Find the Roots of the Polynomial
2x3 - 11x2 + 12x + 9 = 0
-1, 1, 3
-1, 3/2, 3
-1/2, 3, 3
-1/2, 1, 3
- 19. Multiple Choice
Find all zeros, one zero has been given.
f(x) = x3-3x2-x+3; 3
2,4,3
-1,1,3
3,2,1
4,5,6
- 20. Multiple ChoiceFind all zeros.x= 3,1,1/3x= -3, -1, -1/3x = -3, 1, 1/3x = 3, -1, -1/3
- 21. Multiple ChoiceFind all the zeros of f(x) = x3 -3x2 + x - 33 and -11 and - 33, i, and -i3 and i
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