Factoring

DOTS

100

Factor:

x²-4 

(x+4)(x-4)

200

Factor:

x²-25

(x+5)(x-5)

300

Factor:

x⁶-49

(x³-7)(x³+7)

400

Factor:

x¹⁰-81

(x⁵-9)(x⁵+9)

500

Factor:

(x⁸+16)

NOT DOTS

A=1 Trinomial

100

Factor:

x²-10x+9

(x-1)(x-9)

200

Factor:

x²+4x-12

(x-2)(x+6)

300

Factor:

n²-5n+6

(n-2)(n-3)

400

Evaluate the value of x:

x²-15x+50

x=10

x=5

500

Factor:

x²-4x+24

Not factorable using this method. You must use the quadratic formula. 

Factor Completely

100

Factor:

3x²-300

3(x-10)(x+10)

200

Factor:

2x⁴-18

2(x²-3)(x²+3)

300

Factor:

4x²-24x+36

4(x-3)(x-3)

400

Factor:

5x³-20x

5x(x-2)(x+2)

500

Factor:

5x³-40x²+80x

5x(x-4)(x-4)

Polynomials

100

(3x²+6x-2)+(8x²-2x-8)

11x²+4x-10

200

(-4x-x²+3)+(9-6x+15x²)

14x²-10x+12

300

(10x²-8x+2)-(-8x²+10x-5)

18x²-18x+7

400

What is the product of (x-4) and (x²-6x+3)

x³-10x²+27x-12

500

(x+3)(x-9)+5x²-8x

6x²-14x-27

GCF

100

What does GCF stand for?

Greatest common factor

200

What is the GCF of ...

8x-2

2(4x-1)

300

What is the GCF of ...

7x²+42

7(x²+6)

400

What is the GCF of ...

10x⁴-18x³+4x²+20x

2x(5x³-9x²+2x+10)

500

What is the GCF of ...

24x³y²+18x²y

6x²y(4xy+3)