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 factoring:
3x2 + 20x + 12
What is
(3x+2)(x+6)?
The result of factoring: 16x2-1
(4x-1)(4x+1)
Factors of 6
1,2,3,6
The first step of factoring is to ALWAYS?
Check for a GCF
The result of factoring:
14x+63
What is
7(2x+9)?
The result of factoring:
x2 + 8x + 12
What is
(x + 2)(x + 6)?
The result of factoring:
5x2 +21x +4
What is
(5x+1)(x+4)?
The result of factoring:
x2 - 25
What is
(x - 5)(x + 5)?
Factors of 100
1,2,4,5,10,20,25,50,100
I can only use difference of squares if the terms are ________.
Perfect squares
The result of factoring:
16x2+56
What is
8(2x2+7)
The result of factoring:
x2 - 6x + 8
What is
(x - 4)(x - 2)?
The result of factoring:
3x2 + 14x + 15
What is
(3x+5)(x+3)?
The result of factoring:
2x2 - 200
What is
2(x - 10)(x + 10)?
Factors of 36
1,2,3,4,6,9,12,18,36
The trinomial (a=1) method requires me to find to numbers that ________
multiply to get C and add to get B
The result of factoring:
14x3+18x4
What is
2x3(7+9x)
The result of factoring:
x2 - 10x - 24
What is
(x - 12)(x + 2)?
The results of factoring:
2x2 -13x - 7
What is
(2x+1)(x-7)?
The result of factoring:
81x2 - 49
What is
(9x - 7)(9x + 7)?
Factors of 17
1,17
The 5 methods of factoring we have learned are called
GCF Method, Trinomials (a=1), Trinomials (a>1), Grouping Method, Difference of squares method
The result of factoring:
-20x2-6x5
What is
-2x2(10+3x3)
The result of factoring:
2x2 + 8x + 8
What is
2(x + 2)2?
The result of factoring:
16x2 - 8x + 1
What is
(4x - 1)2?
The result of factoring:
64x2 - 25
What is
(8x + 5)(8x - 5)?
Factors of 1
1
When I factor by grouping, I start by _______
Taking out a GCF
Split the terms in half