Factoring Polynomials

GCF

100

6x+3

3(2x+1)

200

10x-95

5(2x-19)

300

18x³+12x²-6x 

6x(3x²+2x-1)

400

8x² + 36xy²

4x(2x + 9y²)

500

2x⁴y³ - 4x⁶y⁵

2x⁴y³(1 - 2x²y²)

Factoring Trinomials

100

x²+9x+18

(x+3)(x+6)

200

x²-15x+50

(x-5)(x-10)

300

x²+13x+42

(x+6)(x+7)

400

x³ - 3x² - 40x

x(x-8)(x+5)

500

5x²y -15xy -140y

5y(x+4)(x-7)

Grouping

100

x³ - x² + 2x - 2

(x²+2)(x-1)

200

5x³ - 10x² +3x - 6

(5x²+3)(x-2)

300

3x³ - 4x² + 9x - 12

(x²+3)(3x-4)

400

6x³ + 15x² + 18x + 45

3(x²+3)(2p+5)

500

40xy + 30x - 100y - 75

5(2x-5)(4y+3)

Difference of Squares

100

x² - 169

(x-13)(x+13)

200

9x² + 4y²

Not Factorable: This is not a difference of squares!!

300

1 - x²

(1-x)(1+x)

400

49x² - 9

(7x-3)(7x+3)

500

64x² - 25y²

(8x - 5y)(8x + 5y)

TRIVIA

100

What number has the same number of letters as its meaning?

FOUR

200

What is the opposite of factoring a polynomial?

Multiplying Polynomials

300

What number doesn't have its own roman numeral?

ZERO

400

How many seconds are in a day?

86,400

500

What number is twice the sum of it digits?

18