Factoring Polynomials

add, subtract, multiply polynomials

100

FIND THE SUM (combine like terms):

(y + 5)  +  (3y - 9)

4y - 4

200

FIND THE SUM (combine like terms):

(3x² + 3x - 2)  +  (-6x² + 5x - 5)

-3x² + 8x - 7

300

Find the difference (subtract like terms):

(2x² + 6x - 11)  -  (5x² - x + 7)

-3x² + 7x - 18

400

Find the product (FOIL):

(x - 4)(x + 3)

x² - x - 12

500

Find the product (FOIL):

(6x - 3)(5x - 4)

30x² - 39x + 12

Factoring Trinomials

100

FACTOR: x² + 11x +30

(x + 5)(x + 6)

200

FACTOR: x² - 10x - 24

(x + 2)(x - 12)

300

FACTOR: x² - 7x + 12

(x - 3)(x - 4)

400

FACTOR: 2x² + 17x + 8

HINT: Split the middle on this one.

(2x + 1)(x + 8)

500

FACTOR: 6x² + 7x + 2

Hint: Split the middle term.

(3x + 2)(2x + 1)

Factoring using Difference of Squares (sq root)

100

FACTOR: x² - 100

(x + 10)(x - 10)

200

FACTOR: 25x² - 36

(5x + 6)(5x - 6)

300

FACTOR: 100x² - 121y²

(10x + 11y)(10x - 11y)

400

289x² - 9y²

(17x + 3y)(17x - 3y)

500

676x² - 961y²

(26x + 31y)(26x - 31y)

Factor by grouping (4 terms)

100

Factor: x² + 10x + xy + 10y

(x+10)(x + y)

200

Factor: xy - 2x - 2y +4

(x - 2)(y - 2)

300

Factor: x³ + 3x² - 9x - 27

(x + 3)(x² - 9)

400

FACTOR: 6x² - 18x + 4xy - 12y

(6x + 4y)(x - 3)

500

Factor: 9x³ - 12x² + 12x - 16

(3x² + 4)(3x - 4)

Factor out the GCF

100

Factor out the GCF:

w² - 12w

w(w - 12)

200

Factor out the GCF:

7x + 49

7(x + 7)

300

Factor out the GCF:

50x³ - 15x²

5x²(10x - 3)

400

Factor out the GCF:

4a²b² + 16ab + 12a

4a(ab² + 4b + 3)

500

Factor out the GCF:

9x³ + 12x² + 6x

3x(3x² + 4x + 2)