# Quadratic Relations

### Everything you need to know!

## Common Factoring

Factoring is the opposite of expanding. If every term of a polynomial is divisible by the common constant it is called common factoring.

ab+ac= **a(b+c)**** >> This is common factoring << ** **4(x+5)=** 4x+20

A polynomial is not considered to be completely factored until the Great Common Factor (G.C.F) has been figured out.

## ~G.C.F~

## SImple Trinomials: x^2+bx+c

## Complex Trinomials: Ax^2+bx+c

Factoring by Grouping

## Completing Squares

Ex.1

=x^2-25

**=(x-2) (x+2)**

Ex.2

=x^2-4

** =(x+5)(x-5) **

## Questions. Try it :)

- 1.) (x+2) (x+5)
- 2.) (x-4) (x+7)
- 3.) (2x+7)2
- 4.) 8x2+8x+16
- 5.) -24x3y4-6x2 y3+18x2y5
- 6.) x2+11x+28
- 7.) x3-1
- 8.) 6x2 (1-x2)+7x (1-x2)+2 (1-x2)
- 9.) (2x+1)2- (4x-3) (4x+3)