BASIC FACTORING
x2+5x+6
Factor completely
(x+2)(x+3)
x2 -y2
(X+Y)(X-Y)
8r3-64r2+r-8
8r2(r-8)+(r-8)
(r-8)(8r2+1)
What is quadratic formula?
(-b+_√b2 - 4ac)/2a
A + A = 15
A + B = 13
B + C = 10
A + C = ?
A = 7.5, B = 5.5, C = 4.5
A + C = 12
X2 +16x +15
Factor completely
(x + 1)(x + 15)
4x2-1
(2x+1)(2x-1)
6v3 -16v2 + 21v -56
2v2(3v-8) + 7(3v-8)
=(3v-8)(2v2+7)
Use a quadratic equation to get x value
6x² + 11x - 35 = 0
x = 5/3 or x = -7/2
If 72 x 96 = 6927, 58 x 87 = 7885, then 79 x 86 = ?
6897
If you reverse the multiplication number, you get this number.
4X2 + 6X +2
Factor completely
2(2x2 +3x +1)
2(x+1)(2x+1)
25x4-81y6
(5x2+9y3)(5x2-9y3)
63n3 + 54n2 -105n - 90
9n2(7n+6) -15(7n+6)
Use a quadratic equation to get x value
6 + 2x2 - 3x = 8x2
x = (1+√17)/-4 or x = (1-√17)/-4
How to get a number 100 by using four sevens (7’s) and a one (1)?
Answer 1: 177 – 77 = 100
Answer 2: (7+7) * (7 + (1/7)) = 100
3x2 + 11x + 10
Factor completely
(x+2)(3x+5)
(x+1)2-y2
(x+1+y)(x+1-y)
96n3 - 84n2 +112n - 98
12n2(8n-7)+14(8n-7)
=(8n-7)(12n2+14)
=2(6n2+7)(8n-7)
Use a quadratic equation to get x value
-4x² - 7x +12 = 0
x = (7+-√241)/-8
If 1 = 3
2 = 3
3 = 5
then 4 = ?
4, because ‘four’ has four letters
3x3 - x2y + 6x2y - 2xy2 + 3xy2 - y3
Factor completely
3x2 - x2y + 6x2y - 2xy2 + 3xy2 - y3
=x2(3x - y) + 2xy(3x - y) + y2(3x-y)
=(3x - y)(x2 + 2xy + y2)
=(3x - y)(x + y)2
4-(x+2)2
4-(x2+4x+4)
=4-x2-4x-4
=-x2-4x
=-x(x+4)
9mz - 4nc + 3mc - 12nz
3m(3z + c) - 4n(c + 3z) =
(3z + c)(3m - 4n)
Use a quadratic equation to get x value
1/3x2 + 6x = x2 + 1/4
(Simplify the answer)
(72+-√5088)/16
= (18 +-√318)/4
1 + 4 + 8 = 9
4 + 7 - 1 = 8
1 + 1 + 3 + 5 = 6
6 + 9 - 1 - 4 = ?
12 + 42 + 82 = 92
42+ 72 - 12 = 82
12 + 12 + 32 +52 = 62
62 + 92 - 12 - 42 = X2
X2 = 100, X = 10