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- 1. Multiple ChoiceWhat is the Degree of this polynomial:
f(x)= x3(x + 3)2(x – 5)Degree: 6Degree: 5Degree: 3Degree: 2 - 2. Multiple ChoiceHow many zeros does the following function have?
f(x)= x5 - 3x3 + x8953 - 3. Multiple ChoiceThe degree of the polynomial determines the number of roots.TrueFalse
- 4. Multiple Choice
Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.ABCD - 5. Multiple ChoiceUse the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.ABCD
- 6. Multiple Choice
What is the total number of possible positive roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 10
4
5
6
7
- 7. Multiple Choice
Which of these is a possible rational root of the polynomials?
x3 - 6x2 - x + 30
0
4
-9
-15
- 8. Multiple ChoiceWhich of these is a possible root of the polynomials?
x3 - 6x2 - x + 3004-9-15 - 9. Multiple ChoiceThe Fundamental Theorem of Algebra tell us two things. Which of the options does not come from the Fundamental Theorem of Algebra?A nth degree polynomial has at least 1 complex solutionAn nth degree polynomial always has 2 x-interceptsA nth degree polynomial has n solutions.
- 10. Multiple ChoiceWhich of the following roots match the above polynomial:-3,-1,4-3,2i,-2i
- 11. Multiple ChoiceWhat is the total number of roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 104567 - 12. 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
- 13. Multiple Choice
How many positive solutions does the following polynomial have?
f(x) =3x5 - x4 + 3x2 - 6x +11
4, 2, or 0
4
3 or 1
3
- 14. Multiple Choice
State how many of each type of possible solution the following polynomial has
f(x) = -4x4 + x3 +11x2 - 4x + 8
Positive: 3 or 1
Negative: 1
Positive: 3
Negative: 1
Positive: 1
Negative: 3 or 1
Positive: 1
Negative: 3
- 15. Multiple Choice
How many possible negatives solutions does the following polynomial have?
f(x) = x4 - 3x3 - 17x2 + 39x -20
3 or 1
3
1
2 or 0
- 16. Multiple ChoiceHow many solutions does the polynomial f(x)=3x4 + 5x2 - 6x have?4235
- 17. Multiple Choice
The nth degree of a polynomial is equal to the number of root that same polynomial has: is a true statement of which theorem?
Factor Theorem
Remainder Theorem
Fundamental Theorem
All of the above
None of the above
- 18. Multiple ChoiceWhich formula is the Fundamental Theorem of Algebra Formula?There are infinitely many rationals between two reals.Every polynomial equation having complex coefficents and degree greater than the number 1 has at least one complex root.There are infinitely many prime numbers.All numbers are rational numbers.
- 19. Multiple ChoiceUse the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial.ABCD
- 20. Multiple Choice
What is the total number of possible negative roots for the following equation?
y = 4x6 - 12x5 - x4 + 2x3 - 6x2 - 5x + 10
4
3
2
5
- Answer choicesTagsAnswer choicesTags