Factoring Polynomials!

Common Factors

100

Factor 2x² + 4

2(x² + 2)

200

Factor 3m³ + 6m² + 12m

3m(m² + 2m + 4)

300

Factor 4k⁵ + 100k³

4k³(k² + 25)

400

Factor 20x⁴ + 30x⁸ - 40x¹⁰

10x⁴(2 + 3x⁴ - 4x⁶)

500

Factor 15x⁴y³ + 10x³y⁵

5x³y³(3x + 2y²)

Trinomials

100

Factor b² + 8b + 7

(b + 1)(b + 7)

200

Factor m² + m - 90

(m + 10)(m - 9)

300

Factor x² - 16x + 64

(x - 8)(x-8) or (x - 8)²

400

Factor x² - 5x + 24

not factorable

500

Factor 4n² - 4n - 8

4(n + 1)(n - 2)

Difference of Squares

100

Factor x² - 25

(x + 5)(x - 5)

200

Factor m² - 49

(m + 7)(m - 7)

300

Factor n² - 121

(n + 11)(n - 11)

400

Factor 2x² - 288

2(x + 12)(x - 12)

500

Factor c⁴ - 625

(c² + 25)(c + 5)(c - 5)

Difference of Cubes

100

Factor x³ - 27

(x - 3)(x² +3x + 9)

200

Factor n³ - 64

(n - 4)(n² + 4n + 16)

300

Factor a³ - 216

(a - 6)(a² +6a + 36)

400

Factor 5x³ - 40

5(x - 2)(x² + 2x +4)

500

Factor 12h⁹ - 1500h⁶

12h⁶(h - 5)(h² + 5h + 25)

Sum of Cubes

100

Factor d³ + 8

(d + 2)(d² - 2d + 4)

200

Factor x³ + 125

(x + 5)(x² - 5x +25)

300

Factor g³ + 343

(g + 7)(g² - 7g + 49)

400

Factor 6x³ + 162

6(x + 3)(x² - 3x + 9)

500

Factor 16m⁷ + 250m⁴

2m⁴(2m + 5)(4m² - 10m + 25)