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Rational Root Theorem
Factoring and Zeros
Conjugates and Fundamental Theorem of Algebra
Expanding Binomials
Miscellaneous
100
This is the definition of "rational".
What is a real number that can be written as a fraction.
100
These are the solutions to the function x^2 - 5x + 6 = 0.
What are x = 2, and x = 3
100
This is the conjugate of 9 - 2i.
What is 9 + 2i.
100
This is the expansion of (x - 1)^3.
What is x^3 - 3x^2 + 3x - 1.
100
This is the full last name of Mrs. P. Double points for correct spelling and/or pronunciation.
What is Pogodzinski.
200
This is the fraction used to find the list of possible rational roots for a function.
What is factors of the constant / factors of the leading coefficient.
200
This is the function with the zeros 9 and -12.
What is y = (x - 9)(x + 12).
200
This is the number of roots that y = 2x^3 - x^2 + 10x - 5 has.
What is 3.
200
This is the 5th term in the expansion of (x - 3)^5.
What is 405x.
200
These are the names of Ms. Isman's brothers. Double points for the names of Ms. Isman's nephews.
What are Mike and Dave. What are Henry (human) and Bentley (dog).
300
All of the possible rational roots of y = x^3 + 3x^2 + 3x + 1.
What are +/- 1.
300
The other roots of 1x^3 - 2x^2 + 16x - 32 = 0 given that x = 2 is a solution.
What are +/- 4i
300
This is the number of roots that y = 8x^7 - 2x^4 + 3x - 15 has.
What is 7.
300
This is the coefficient of the term that contains r^4s^3 in the expansion of (r + s)^7.
What is 35.
300
This is the name of the French mathematician that made the triangle that you use to find the coefficients when expanding binomials.
Who is Blaise Pascal.
400
All of the possible rational roots of y = 8x^2 + 2x + 1.
What are +/- 1, 1/2, 1/4, 1/8
400
The zeros of y = x^4 - 48x^2 - 49.
What are +/- i, +/- 7
400
These are the conjugates of 2i, 6 - i, and 7.
What are -2i, 6 + i, and 7.
400
This is the expansion of (x + y)^6.
What is x^6 + 6x^5y + 15x^4y^2 + 20x^3y^3 + 15x^2y^4 + 6xy^5 + y^6.
400
This is the process to "simplify" a function once you have a rational root. You use this in order to find the other roots.
What is synthetic division.
500
All of the possible rational roots of y = 2x^4 - 3x^3 + 9x^2 + 13x - 9.
What are +/- 1, 3, 9, 1/2, 3/2, 9/2
500
The zeros of y = x^4 - 25x^2 + 144.
What are +/- 3, and +/- 4
500
This is a fourth degree function with known roots of 5 - 2i and 8 + i.
What is y = (x - (5 - 2i))(x - (5 + 2i))(x - (8 + i))(x - (8 - i)).
500
This is the expansion of (2a - 1)^5
What is 32a^5 - 80a^4 + 80a^3 - 40a^2 + 10a - 1.
500
This is the description of a graph with no real roots.
What is a function that never crosses the x-axis.