Solving Quadratics by Factoring

Writing in Standard Form

100

write in standard form x^2+6=5x

x^2-5x+6=0

200

Write in Standard Form -6=-x^2-x

x^2+x-6=0

Factoring GCF

100

4x^3+2x^2-6x

2x(2x^2+x-3)

200

15x^2-10x+25

5(3x^2-2x+5)

Factoring Trinomial into Product of Two Binomials

100

Factor x^2-5x+6

(x-3)(x-2)

200

Factor x^2+x-6

(x+3)(x-2)

Solving using Zero Product Property

100

solve for x (x-3)(x-2)=0

x=3,2

200

solve for x (x+3)(x-2)

x=-3,2

Putting it all Together

100

Solve for x: 2x^2-20x+44=-4

x=6,4

200

Solve for x: x^2+5x-35=3x

x=-7,5