1. 4.4A Factoring: Leading Coefficient ≠1
Factoring Difference of 2 Squares LC≠ 1
2 terms
SUBTRACTION
Both have NICE Square roots
Put square roots of each in the ( )
( )( ) : Use one of each sign

2. Examples: Difference of 2 squares: LC ≠1

3. Factoring Perfect Square Trinomials: Leading Coefficient ≠1
Factoring Perfect Square Trinomials: LC≠1
3 terms
LAST term is POSITIVE
FIRST AND LAST have NICE square roots
Put square root of first & last in ( )
BOTH signs MATCH sign of MIDDLE term (SAME)
Check by FOIL
( )( ) OR ( )( )

4. Examples: Perfect Square Trinomial: LC ≠1
4. 4x² + 20x + 25
5. 36x² - 12x + 1
6. 9x² + 12x + 4
7. 25x² - 80x + 64

5. Factorable Trinomial LC≠1: Guess & Check by FOIL
Trinomial: FIRST MIDDLE LAST
(____ ) (____ )
2 things multiplied = first
( ___) ( ___)
2 things multiplied = last
(___ ___) (____ ____) “O + I” = Middle
LAST= POSITIVE: ( + )( + ) OR ( - ) ( - ) match middle
LAST = NEGATIVE: ( + ) ( - ) one of each

6. Examples: Factorable LC≠1
8. 2x²+ 7x + 3
9. 5x² -11x +6
x² + 16x + 3
11. 4x² - 9x + 2
12. 3x² + 5x -12
13. 7x² - 20x -3
x² - 2x -8
x² + 2x -9

7. Solving quadratics: (Find x-intercepts, zeros, roots, solutions)
FACTOR first
Solve EACH factor
(x #) : use OPPOSITE of number in ( )
(#x #) : set ( ) = 0 and solve for x
X( ) : One solution is 0
𝑋 2 ( ) : 0 is a solution twice
X³( ) : 0 is a solution 3 times
#( ) : No solution comes form the # out front

8. Examples: Solve
16. 9x² - 13x – 10 = 0
17. y = 2x² + 5x + 3