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Factoring Quadratics
Completing the Square
Solving Quadratics
Factoring Cubics
Solving Cubics
100
x^2 - y^2
What is the unfactored form of a difference of squares
100
x^2 + 2x + _
What is a perfect square trinomial missing the constant term
100
x^2 +x - 6 = 0
What is a factorable quadratic equation with roots -3 and 2
100
x^3 - y^3
What is the unfactored form of a difference of perfect cubes
100
x^3 + 2x^2 - 3x = 0
What is a cubic with roots 0, - 3, and 1
200
x^2 + 6x + 9
What is the unfactored form of a perfect square (sum)
200
x^2 + 6x + _
What is an equation which will be a perfect square upon adding 9
200
x^2 + 2x + 1 = 0
What is an equation with one real root, -1
200
p^3 + q^3
What is the unfactored form of a sum of cubes
200
x^3 - 9x^2 - 4x + 36 = 0
What is a cubic with roots 2, -2, and 9
300
x^2 - 4x + 4
What is the unfactored form of a perfect square (difference)
300
x^2 - 3x + _
What is an expression which will be a perfect square upon adding 9/4 to each side
300
x^2 + 5x + 6 = 0
What is a quadratic equation with two real roots, -2 and -3
300
x^3 - 8
What is the unfactored form of (x - 2)(x^2 + 2x + 4)
300
0 = (x + 3)^3
What is a cubic with a root -3 of multiplicity 3
400
x^2 + x - 6
What is the unfactored form of a quadratic with leading coefficient 1
400
4x^2 - 8x + _
What is an expression which will be a perfect square upon adding 4(1) to it
400
x^2 + 1 = 0
What is a quadratic equation with no real roots
400
27x^3 + 64
What is the unfactored form of (3x + 4)(9x^2 - 12x + 16)
400
x^3 - 9x^2 + 31x - 39 = 0 (x = 3 is one root)
What is a cubic with two complex roots
500
8x^2 - 10x - 3
What is a trinomial with a leading coefficient other than 1 with factors (4x+1)(2x-3)
500
ax^2 + bx +_
What is an expression which will be a perfect square upon adding a(b^2/4a^2)
500
The solutions to ax^2 + bx + c = 0
What is the quadratic formula
500
x^6 - z^9
What is the unfactored form of (x^2 - z^3)(z^4 + x^2z^3 + z^6)
500
x^3 - 3x^2 + 4x - 2 = 0
What is cubic having one root that is rational (viz., 1)