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: x²-13x-30

(x+2)(x-15)

More Factoring Trinomials

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor: 2x²-12x+10

2(x-1)(x-5)

Factor by Grouping

100

Factor the following: 5x(x+1)+3(x+1)

(5x+3)(x+1)

200

Factor the following: 3x(x²+2)+4(x²+2)

(3x+4)(x²+2)

300

Factor the following: 5x(x-2)-(x-2)

(5x-1)(x-2)

400

Factor the following: 2x(x+1)+3(1-x)

(2x-3)(x+1)

500

Factor the following: 2x(x-3)+(3-x)

(2x-1)(x-3)

FACTOR BY GCF

100

Factor by GCF- 14n²+10n

2n(7n+5)

200

Factor by GCF- 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²+12a

4(2-a²+3a)

400

Factor by GCF- -4x⁴-16x³+8x²

-4x²(-x²-4x+2)

500

Factor by GCF- 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Squares

100

Factor: 4x²+81

Cannot Factor

200

Factor: 16x⁴-25

(4x²-5)(4x²+5)

300

Factor: x²+18x+81

(x+9)(x+9) or (x+9)²

400

Factor: 4x²+20x+25

(2x+5)(2x+5) or (2x+5)²

500

Factor: 10g¹⁰-49h⁴⁰

(10g⁵-7h²⁰)(10g⁵+7h²⁰)