Let's factor!

Factoring trinomials a =1

100

Factor:  

x²+8x+12

(x+6)(x+2)

200

Factor: 

x²-11x+18

(x-9)(x-2)

300

Factor: 

x²-6x-7

(x-7)(x+1)

400

Factor: 

x²+5x-24

(x+8)(x-3)

500

Factor:

 x²-13x-30

(x+2)(x-15)

Factoring trinomials a >1

100

Factor: 

 2x²+5x+2

(2x+1)(x+2)

200

Factor: 

 3x²-8x+4

(3x-2)(x-2)

300

Factor: 

 5x² + 12x - 9

(x + 3)(5x - 3)

400

Factor: 5x²+19x+12

(5x+4)(x+3)

500

Factor: 

 6x² - 11x + 4

(3x - 4)(2x - 1)

Difference of Two Squares

100

Factor:

x²-25

(x+5)(x-5)

200

Factor:

x²-144

(x+12)(x-12)

300

Factor:

9x²-4

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

400

Factor:

4x²-36

4(x-3)(x+3)

500

Factor:

x^2/4-16/9

(x/2+4/3)(x/2-4/3)

Factoring with GCF

100

Factor :  

2x²-14x-36

2 (x- 9)(x + 2)

200

Factor:  

4x² + 32x + 64

4 (x + 4) (x + 4)

300

Factor:  

3x²-27x+60

3(x-4)(x-5)

400

Factor:  

2𝑥²+2𝑥−12

2(x+3)(x-2)

500

Factor:  

8x²-36x-20

4(2x+1)(x-5)

Equations

100

Find g(0).

g(t)= -16t²+70t+1 

t=1

200

Solve:  

x² + 8 = 0

x=2isqrt(2), -2isqrt(2)

300

Multiply: (x+i)(x-i)

x²+1

400

Find f(x)=0:

f(x)=(x + 4)(x - 5)

x= -4, 5

500

Solve:

x²-6x+7=0

 3+sqrt(2), 3-sqrt(2)