Factoring Polynomials

Factor by Grouping

100

Factor completely: x²+2x+4x+8

(x+2)(x+4)

200

Factor completely:

xy-5x+9y-45

(x+9)(y-5)

300

Factor completely:

3x³-2x²-6x+4

(x²-2)(3x-2)

400

Factor completely:

16 - 4x²

(4 + 2x)(4 - 2x) OR (2x - 4)(2x + 4)

500

Factor completely:

10x³+8x²+15xy+12y

(2x²+3y)(5x+4)

Factoring trinomialswhen a = 1

100

Factor completely: x²+8x+12

(x+6)(x+2)

200

Factor completely:

m²-11m+18

(m-9)(m-2)

300

Factor completely:

x²+5x-24

(x+8)(x-3)

400

Factor completely:

y²-6y-7

(y-7)(y+1)

500

Factor completely:

x²-x-56

(x-8)(x+7)

Factor by GCF

100

Factor completely: 14n²+10n

2n(7n+5)

200

Factor completely:

18x³-6x

6x(3x²-1)

300

Factor completely:

20m²+5m-15

5(4m-3)(m+1)

400

Factor completely:

mx²-18mx+81m

m(x-9)(x-9) OR m(x-9)²

500

Factor completely:

26y-6y²-8

-2(y-4)(3y-1)

Factoring Trinomialswhen a > 1

100

Factor completely: 2x²+7x+3

(2x+1)(x+3)

200

Factor completely: 5n²+26n+5

(5n+1)(n+5)

300

Factor completely:

3x²-10x+7

(3x-7)(x-1)

400

Factor completely:

7x²-36x+5

(7x-1)(x-5)

500

Factor completely:

2x²-12x+10

2(x-1)(x-5)

Multiply Polynomials

100

Multiply:

(X+3)(x-3)

x² - 9

200

Multiply:

(x+8)(x² - 3)

x³ + 8x² - 3x - 24

300

Multiply:

(2x²+4)(2x-4)

4x³ - 8x² + 8x - 16

400

Multiply:

(5x² + 2x +3)(5x + 3)

 25x³ + 25x²  + 21x + 9

500

Multiply:

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

-8x² + 10xy - 3y²