Greatest Common Factor
The result of factoring: 2x2 + 14
What is 2(x2 + 7)?
To factor the trinomial x2+8x+16 you find two numbers that add to 8 but multiply to this...
What is 16?
The result of Distributive Property:
(x - 1)(x + 1)
What is
x2 - 1?
The result of factoring:
x2 + 6x + 9
What is
(x+3)2?
The result of Distributive Property:
(x + 1)(x + 2)(x + 3)
What is
x3 + 6x2 + 11x + 6?
The result of factoring:
8a - 16
What is
8(a - 2)?
The result of factoring:
x2 + 8x + 12
What is
(x + 2)(x + 6)?
The result of Distributive Property:
(x - 5)(x + 5)
What is
x2 - 25?
The result of factoring:
x2 - 20x +100
What is
(x-10)2?
The result of Distributive Property:
(x + y)3
What is
x3 + 3x2y + 3xy2 + y3?
The GCF of:
25z2 - 125xz
What is 25z?
The result of factoring:
x2 - 6x + 8
What is
(x - 4)(x - 2)?
The result of Distributive Property:
2(x - 10)(x + 10)
What is
2x2 - 200?
The result of factoring:
x2 + 8x + 16
What is
(x + 4)2?
The result of factoring:
98x2 - 50
What is
2(7x - 5)?
The result of factoring:
9x2 - 45x +9
What is
9(x2 - 5x+ 1)?
The result of factoring:
x2 - 10x - 24
What is
(x - 12)(x + 2)?
The result of Distributive Property:
(x2 + 7)(x - 4)
What is
x3 - 4x2 + 7x - 28?
The result of factoring:
2x2 + 32x + 128
What is
2(x + 8)2?
The results of factoring:
4x2 + 20x + 25
What is
(2x + 5)2?
The result of factoring:
-15x2 + 5x
What is
-5x(3x - 1)?
The result of factoring:
2x2 + 8x + 8
What is
2(x + 2)2?
The result of Distributive Property:
9(x - 2)(x - 2)
What is
9x2 - 36x + 36?
The result of factoring:
x2 - 12x + 36
What is
(x - 6)2?
This idea makes certain factoring problems much easier, and is seen in the following equation:
a2 - b2 = (a + b)(a - b)
What is the Difference of Squares?