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The Solution
Divide and Conquer
Theorems
100
12x+2-2x^3 written in standard form.
What is -2x^3+12x+2
100
A polynomial with the zeros x = 7 and x = 10.
What is f(x) = x^2 - 17x + 70?
100
The solutions to x^3 - 3x^2 - 54x = 0.
What is x = 0, x = 9, and x = -6?
100
The quotient when x^2 + 2x - 24 is divided by x - 4.
What is x + 6?
100
The number and type of roots of 3x + 8 = 0.
What is one real root?
200
3x+6x+3 written in standard form.
What is 9x+3?
200
A polynomial with the zeros x = -1, x = 0, and x = 2.
What is f(x) = x^3 - x^2 - 2x?
200
The solutions to 3x^3 + 4x^2 - 15x = 0.
What is x = 0, x = 5/3, and x = -3?
200
The quotient when 5x^3 -13x^2 + 10x - 8 is divided by x - 2.
What is 5x^2 - 3x + 4?
200
The possible rational roots of P(x) = x^3 + 4x^2 -10x + 6.
What is (plus or minus) 1, 2, 3, and 6?
300
m^4 + 3m^3 = 40m^2 named by degree and number of terms.
What is quartic trinomial?
300
A polynomial with the zeros x = -1, x = -1, and x = 6.
What is f(x) = x^3 - 4x^2 - 11x - 6?
300
The solutions to m^4 + 3m^3 = 40m^2.
What is m = 0, m = 5, and m = -8?
300
The quotient when x^3 - 4x^2 is divided by x - 4.
What is x^2?
300
The possible rational roots of P(x) = 3x^4 - 4x^3 - x^2 - 7.
What is (plus or minus) 1, 7, 1/3, and 7/3?
400
The degree of the polynomial with respect to b: -5ab^2 (-3a^2b+6a^3b-3ab).
What is 3?
400
A polynomial with the zeros x = -3 and x = 5i.
What is f(x) = x^3 + 3x^2 + 25x + 75?
400
The solutions to x^3 = 64.
What is x = 4, x = -2 + 2isqrt(3), and x = -2 - 2isqrt(3)?
400
The remainder when 2x^4 - 5x^2 +8x - 7 is divided by x - 6.
What is 2453?
400
The additional roots of a polynomial with roots -2 + sqrt(11) and -4 - 6i.
What is -2 - sqrt(11) and -4 + 6i?
500
The polynomial 8x (2x^2 - 1) = x^2 (16x + 4) named by degree and number of terms.
What is Quadratic Binomial?
500
A polynomial with the zeros x = 3 + i, x = 2, and x = -4.
What is f(x) = x^4 - 4x^3 - 10x^2 + 68x - 80?
500
The solutions of x^4 - 8x^2 + 16 = 0.
What is x = 2 and x = -2?
500
The remainder when x^3 + 6x^2 - x - 30 is divided by x + 3. Also the answer to whether x + 3 is a factor of the polynomial.
What is 0 and yes?
500
The number of real and imaginary roots of P(x) = x^3 + 2x^2 +4x + 21.
What is 1 real and 2 imaginary?
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