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Algebra Chapter 8.5 - 8.9 Test Review - Factoring

Terms in this set (125)

(x + 1)²
x² + 2x + 1
(x - 1)²
x² - 2x + 1
(x - 2)²
x² - 4x + 4
(x + 2)²
x² + 4x + 4
(x - 3)²
x² - 6x + 9
(x + 3)²
x² + 6x + 9
(x - 4)²
x² - 8x + 16
(x + 4)²
x² + 8x + 16
(x - 5)²
x² - 10x + 25
(x + 5)²
x² + 10x + 25
(x + 6)²
x² + 12x + 36
(x - 6)²
x² - 12x + 36
(x - 7)²
x² - 14x + 49
(x + 7)²
x² + 14x + 49
(x - 8)²
x² - 16x + 64
(x + 8)²
x² + 16x + 64
(x - 9)²
x² - 18x + 81
(x + 9)²
x² + 18x + 81
(x + 10)²
x² + 20x + 100
(x - 10)²
x² - 20x + 100
(x + 11)²
x² + 22x + 121
(x - 11)²
x² - 22x + 121
(x + 12)²
x² + 24x + 144
(x - 12)²
x² - 24x + 144
(6 + x)²
36 + 12x + x²
(x + y)²
x² + 2xy + y²
(x + 3y)²
x² + 6xy + 9y²
(x + 4y)²
x² + 8xy + 16y²
(x - 4y)²
x² - 8xy + 16y²
(2x + y²)²
4x² + 4xy² + y⁴
(3x² - y)²
9x² - 6x²y + y²
(2x² + 3y²)²
4x⁴ + 12x²y² + 9y⁴
(6x³ - y)²
36x⁶ - 12x³y + y²
(4x³ - 2y)²
16x⁶ - 16x³y + 4y²
8(8 - 5xy)
Factor 64 - 40xy
4(x² + 4)
Factor 4x² + 16
3xy(2x - y)
Factor 6x²y - 3xy²
15xy(1 + 2xy)
Factor 15xy + 30x²y²
8(4x + 3y²)
Factor 32x + 24y²
12xy(3y - 4x)
Factor 36xy² - 48x²y
5x²y(6x + 7y)
Factor 30x³y + 35x²y²
3xy²(3x² - 2y)
Factor 9x³y² - 6xy³
15xy³(5x + 4)
Factor 75x²y³ + 60xy³
8xy(xy - 3y² + 2)
Factor 8x²y² - 24xy³ + 16xy
5x(x²y² + 2xy + 5)
Factor 5x³y² + 10x²y + 25x
3x(3ax² + 6bx + 8c)
Factor 9ax³ + 18bx² + 24cx
(x + 2)(x + 4)
Factor x² + 4x + 2x + 8
(x + 3)(2x + 3)
Factor 2x² + 3x + 6x + 9
(4x + 2)(x - 3)
Factor 4x² - 12x + 2x - 6
(2x + 5)(3y - 4)
Factor 6xy - 8x + 15y - 20
(-2x + 6)(3y - 2)
Factor -6xy + 4x + 18y - 12
(3x - 4)(4x - 5y)
Factor 12x² - 15xy - 16x + 20y
{0, 32}
Solve x(x - 32)=0
{-4, 0}
Solve 4x(x + 4)=0
{-2, 3}
Solve (x - 3)(x + 2)=0
{-6, 7/3}
Solve (a + 6)(3a - 7)=0
{-5/2, 4}
Solve (2y + 5)(y - 4)=0
{-2, 4/3}
Solve (4y + 8)(3y - 4)=0
{-10, 0}
Solve 2x² + 20x=0
{0, 1/2}
Solve 8p² - 4p=0
{0, 3}
Solve 9x² = 27x
{0, 5/6}
Solve 18x² = 15x
{-3/2, 0}
Solve 14x² = -21x
{-13/4, 0}
Solve 8x² = -26x
2(x + 2)(x + 3)
Factor 2x² + 10x + 12
(3x + 2)(x + 2)
Factor 3x² + 8x + 4
(2x + 3)(2x - 1)
Factor 4x² + 4x - 3
Prime
Factor 8x² - 5x - 10
(3x - 1)(2x + 3)
Factor 6x² + 7x - 3
(5x - 4)(2x + 5)
Factor 10x² + 17x - 20
2(3x - 2)(2x + 7)
Factor 12x² + 34x - 28
3(2x + 3)(2x - 2)
Factor 18x² + 15x - 18
2(3x + 2)(2x - 5)
Factor 12x² - 22x - 20
(4x - 3)(2x - 3)
Factor 8x² - 18x + 9
{1/2, 3/4}
Solve 8x² - 10x + 3=0
{-1/3, 2/5}
Solve 15x² - x = 2
{2/5, 5/2}
Solve 10x² + 10 = 29x
{-4/3, 1/6}
18x² + 10x = -11x + 4
(x + 4)(x + 6)
Factor x² + 10x + 24
(x + 3)(x + 9)
Factor x² + 12x + 27
(x + 11)(x + 3)
Factor x² + 14x + 33
(x + 7)(x - 9)
Factor x² - 2x - 63
(x + 8)(x - 7)
Factor x² + x - 56
(x + 10)(x - 6)
Factor x² + 4x - 60
(x - 4)(x + 8)
Factor x² + 4x - 32
(x - 7)(x + 4)
Factor x² - 3x - 28
(x - 5)(x + 9)
Factor x² + 4x - 45
(x - 6)(x - 5)
Factor x² - 11x + 30
(x - 9)(x - 7)
Factor x² - 16x + 63
(x - 3)(x - 8)
Factor x² - 11x + 24
(x - 8)(x + 7)
Factor x² - x - 56
(x + 5)(x - 11)
Factor x² - 6x - 55
(x + 16)(x + 2)
Factor 32 + 18x + x²
(x - 12)(x - 4)
Factor 48 - 16x + x²
(x - 10y)(x + y)
Factor x² - 9xy - 10y²
(x - 8y)(x + 7y)
Factor x² - xy - 56y²
{-14, -3}
Solve x² + 17x + 42=0
{-12, 7}
Solve x² + 5x - 84=0
{-9, 6}
Solve x² + 3x - 54=0
{-4, 16}
Solve x² - 12x - 64=0
{-8, 4}
Solve x² + 4x = 32
{5, 12}
Solve x² - 17x = -60
{-2, 28}
Solve x² - 26x = 56
{-4, 18}
Solve x² - 14x = 72
{-7, 12}
Solve x² - 84 = 5x
{8, 10}
Solve 80 + x²= 18x
{-2, 18}
Solve x² = 16x + 36
{-13, -4}
Solve 17x + x² = -52
(x + 4)(x - 4)
x² - 16
(x + 2)(x - 2)
x² - 4
(x + 1)(x - 1)
x² - 1
(x - 5)(x + 5)
x² - 25
(x + 8)(x - 8)
x² - 64
(x + 9)(x - 9)
x² - 81
(x + 10)(x - 10)
x² - 100
(x + 7)(x - 7)
x² - 49
(x + 11)(x - 11)
x² - 121
(x + 12)(x - 12)
x² - 144
(x + 13)(x - 13)
x² - 169
(x + 20)(x - 20)
x² - 400
(x + 3)(x - 3)
x² - 9
(3x + 2)(3x - 2)
9x² - 4
(3x + 7)(3x - 7)
9x² - 49
(3x - 3y)(3x + 3y)
9x² - 9y²
The length of the rectangle is the sum of two whole numbers, x and y. The width of the rectangle is the difference of the same two numbers, x and y. Using these facts, write an expression for the area of the rectangle. Hint: A = lw
x² - y²
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