Factoring Quadratic Expressions

Factoring Quadratics a = 1

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor x²+10x+16

(x+8)(x+2)

400

Factor y²-13y+12

(y-12)(y-1)

500

Factor x²-13x-30

(x+2)(x-15)

Factoring Quadratics a > 1

100

Factor 2x²+7x+3

(2x+1)(x+3)

200

Factor 5n²+26n+5

(5n+1)(n+5)

300

Factor 3x²-10x+7

(3x-7)(x-1)

400

Factor 7x²-36x+5

(7x-1)(x-5)

500

Factor 2x²-12x+10

2(x-1)(x-5)

Factoring Perfect Squares

100

Factor x²+10x + 25

(x+5)²

^(x+5)(x+5)

200

Factor x²+12x + 36

(x+6)<sup>2

(x+6) (x+6)</sup> 

300

Factor x²-6x + 9

(x-3)<sup>2

(x-3)(x-3)</sup>

400

Factor x²+30x+ 225

(x+15)²

^(x+15)(x+15)

500

x²-18x + 81

(x-9)²

^(x-9)(x-9)

Factoring Difference of Squares

100

x² - 9 

(x-3)(x+3) 

200

Factor x² - 16

(x-4) (x+4) 

300

Factor x²-36

(x-6) (x+6) 

400

x² - 121

(x-11) (x+ 11) 

500

x² - 4y²

(x- 2y) ( x + 2y) 

What type of function is it?

100

3x²+12x

Quadratic

200

y= x

Linear

300

v³+4v

Cubic

400

| 21x |+72

Absolute Value

500

2^t+5

Exponential