Algebra 2 Project
Solving Quadratic Equations by Factoring
Problem #1. X2+ 12x+ 35=0
-First find what 2 numbers multiply to C*A and adds to B.
A is the number before X2, B is the number before x, and C is the last number.
In this case it should add to 12 and multiply to 35. The #s are 7, and 5.
Now put the #s instead of B.
(X2+ 7x)+(5x+35)
Now take out the Greatest common factor of each group.
x(x+7) 5(x+7)
Then put the two greatest common factors into their own group.
(x+5) (x+7)
Set each group to zero and solve.
x+5=0 x+7=0
x= -5 or x= -7