Properties of Exponents
Polynomials
( +,-,x)
Remainder and Factor Theorems
Polynomial Equations
Misc
100
2^2 * 2^5
128
100
(2x^2+9x)+(13x^2-9x)
15x^2
100
(3x^3 – 5x^2 + 10x – 3)(3x + 1)
x^2-2x+4
100
x^2 + 7x + 10 = 0
x = -5, -2
100
Factor 64x^3 + 8
8(2x + 1)(4x^2 - 2x + 1)
200
(3^2)^-3 * (3^3)
1/27
200
(x+3)^2
x^2+6x+9
200
(3x^3-2x^2+6x-7)/(x-2)
3x^2 + 4x + 14 + 21/(x - 2)
200
y^3 - 5y^2 = 0
x = 0, 5
200
Factor completely 2x^5 - 12x^3 + 10x
2x(x - 1)(x + 1)(x^2 - 5)
300
(3/4)^-2
16/9
300
(4x^3+x^2-2x+3)+(3x^2+5x)
4x^3+4x^2+3x+3
300
(2x^3 – 9x^2 + 15)/(2x – 5)
(x^2-2x-5)+(-10/2x-5)
300
x^3 + 3x^2 - x - 3 = 0
x = -3, -1, 1
300
Factor completely: 2x^3 - 7x^2 - 8x + 28
(x - 2)(x + 2)(2x - 7)
400
(x^2/y^-2)^-4
(1/x^8y^8)
400
(3x^2-5x-6)-(4x^3-5x^2+2x-3)
-4x^3+8x^2-7x-3
400
Given f(x) and a factor of f(x), factor completely: x^3 - 5x^2 - 2x + 24 Factor: x + 2
(x + 2)(x - 3)(x - 4)
400
4x^5 = 84x^3
x = 0, +sqr(21), -sqr(21)
500
2x^-6y^5/ 16x^3y^-2
y^7/8x^9
500
(2x^2+3x+5)*(x^2-2x-3)
2x^4 - x^3 - 7x^2 - 19x - 15
500
Given f(x) and a factor of f(x), factor completely: 2x^3 + 7x^2 - 33x - 18 Factor: x + 6
(x + 6)(x - 3)(2x + 1)
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