When a=1
Factors of
x2+9x+8
(x+8)(x+1)
Factors of
x2-4
(x+2)(x-2)
Factors of
2x2+x-6
(2x-3)(x+2)
Solve
x2-10x+24=0
{4,6}
What is a GCF?
Greatest Common Factor - what every term can be divided by
Factors of
x2+x-90
(x+10)(x-9)
Factors of
25x2-9
(5x+3)(5x-3)
Factors of
2b2+15b+27
(2b+9)(b+3)
Solve
n2=-4n+32
{4,-8}
What is the first step in factoring?
GCF!
Factors of 2x2+34x+140
2(x+10)(x+7)
Factors of
25x2+20x+4
(5x+2)2
Factors of
2x2-5x
x(2x-5)
Solve
m2+6m=0
{-6,0}
How can we tell that a quadratic is a difference of squares?
If both terms are perfect squares and they are being subtracted
5(k-4)(k+10)
Factors of
75p2-30p+3
3(5p-1)2
Factors of
10x2+56x-24
2(5x-2)(x+6)
5x2-24=14x
{-6/5,4}
When solving by factoring, how do we find solutions from our factors?
Set each factor equal to zero and solve / flip the sign
Factors of
6n2-12n-378
6(n+7)(n-9)
Factors of
18x2+32
Not factorable!
Factors of
20k2+72k-140
4(5k-7)(k+5)
Solve
7m2-35=44m
{-5/7,7}
When do we have to use the long method of factoring?
When a>1