Factoring trinomials a = 1

Special Cases 1

100

Factor b² - 10b + 25 

(b - 5) ² 

200

Factor  n² - 6n + 9

 (n - 3)²

300

Factor x²-1

(n + 1) (n - 1)

500

Factor  n² + 10n + 25

(n+5)²

600

Factor x² - 1

(x + 1)(x - 1)

c < 10

100

Factor x² + 2x + 1

(x + 1)(x + 1)

200

Factor x² + 10x + 9

(x + 1)(x + 9)

300

Factor x² - 9x + 8

(x - 8)(x - 1)

500

Factor x² - 2x - 8

(x - 4)(x + 2)

600

Factor x² - x + 6 

(x - 3)(x + 2)

b < 50

100

Factor x² - 10x - 11

(x - 11)(x + 1)

200

Factor x² + 12x - 45

(x + 15)(x - 3)

300

Factor x² + 15x - 450 

(x + 30)(x - 15)

500

Factor x² + 48x - 100

(x + 50)(x - 2)

600

Factor x² + 13x - 140

(x - 7)(x + 20)

c < 50

100

Factor x² + 13x + 40 

(x + 5)(x + 8)

200

Factor x² - 14x + 48

(x - 8)(x - 6)

300

Factor x² + 8x - 20

(x + 10)(x - 2)

500

Factor x² - 49

(x + 7)(x - 7)

600

Factor x² - 11x + 30

(x - 5)(x + 6)

Special Cases 2

100

Factor x² - 16

(x + 4) (x - 4)

200

Factor x² - 25

 (r + 5) (r - 5)

300

Factor x³ + 125

(x + 5) (x²-5x+25)

500

Factor x^{3 + 27}

(x +3) (x² - 3x + 9)

600

Factor x³ - 8

(x-2)(x²+2x+4)