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)

Factoring Trinomials- harder

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 into two binomials: 2x²-12x+10

2(x-1)(x-5)

Factor by Grouping

100

3x²(2x - 3) + 2(2x - 3)

(3x² + 2)(2x - 3)

200

21x³ + 7x² + 12x + 4

(7x² + 4)(3x + 1)

300

25x³ + 5x² + 20x + 4

(5x² + 4)(5x + 1)

400

8x³ - 32x² - x + 4

(8x² - 1)(x - 4)

500

20m³ - 5m² + 20m - 5

5(m² + 1)(4m - 1)

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

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Miscellaneous

100

Identify the type of polynomial 3x² -7x + 11

trinomial

200

Identify the leading coefficient: 3x² + 7x

3

300

Identify the degree: 3xy²z⁴

7

400

Put in Standard Form: 7 - 4x⁶y⁴ + 3x²y⁴ - 5x⁴y³

-4x⁶y⁴ - 5x⁴y³ + 3x²y⁴+ 7

500

FOIL (3x - 7)(2x + 4)

6x² - 2x - 28