FACTORING POLYNOMIALS

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

FOIL

100

(x+1) (x+4)

x^2 + 5x + 4

200

(x+6) (x-5)

x^2 + x - 30

300

(x+9) (x-2)

x² -7x -18

400

(x+13) (x-4)

x² +9x - 52

500

**Random Bonus Question** This is the name of the inventor of basketball and the state that he was from

James Naismith, MASSACHUSETTS

Perfect Squares

100

Factor:

x² - 1

(x+1) (x-1)

200

FOIL:

(x+2) (x-2)

x² -4

300

Factor:

x² - 81

(x+9) (x-9)

400

Factor:

x²-225

(x+15) (x-15)

500

FOIL:

(x+13) (x-13)

x² - 169

Solve For x

100

(x-1) (x+1) = 0

x=1, -1

200

(x+5) (x-18)

x=-5, 18

300

x(x+100) 

x=0, -100

400

Solve for x:

(x+2) (x-3) = 0

x = -2, 3

500

Solve for x:

(2x-18) (3x + 9)

x=9, -3

Find the GCF

100

Find the GCF: 3x² + 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Random Bonus: What is the collective noun used to describe a group of lions? 

A Pride

400

Random Bonus: This famous American is on the $50 dollar bill

Who is Ulysses S. Grant?

500

Find the GCF: 18x³, 32x²+6x

2x