polynomials

facotring

100

x² + 4

(x + 2) (x + 2)

200

x⁴ + 16

(x² + 4) (x² + 4)

300

x² + 9

(x + 3) (x + 3)

400

w² + 81

(w + 9) (w + 9)

500

m⁴ + 144

(m² + 12) (m² + 12)

splitting the middle

100

5n² + 20n + 15 

(5n +15) (n + 1)

200

3x³ + 30x² + 48x

(3x² + 6x) (x + 8)

300

3z⁴ + 24z³ + 48z²

(3z³ + 12z²) (z + 4)

400

14y⁴ + 4y³ - 10y²

(14y³ - 10y²) (y +1)

500

4r² + 56r + 196

(4r + 28) (r + 7)

binomials

100

(x - 5)²

x² - 10x + 25

200

(4x + 2) (3x + 2)

12x² + 14x + 4

300

(7x - 2)²

49x² - 28x + 4

400

(7x - 12) (5x - 12)

35x² - 144x + 144

500

(8n + 5)²

64n² + 80n + 25

trinomials

100

 (x² - 10x + 25)²

x⁴ - 20x² + 150x² - 500x+ 625

200

(x² + 12 + 7)(5x + 3)

5x³ + 3x² + 95x + 57

300

(x² + 4x + 9)²

x⁴ + 8x³ + 34x² + 72x + 81

400

(4z² + 2z + 8)²

16z⁴ + 16z³ + 68z² + 32z + 64

500

(x² - 3x + 4)²

x⁴ - 6x³ + 17x² -24x + 16

quadratics

100

(2s³ + 7s² + 5s + 3) (5s + 2)

10s⁴ +39s³ + 39s² + 25s + 6

200

(7x⁴ + 5x² + 3x + 4) (3x + 4)

21x⁵ + 28x⁴ + 15x³ + 29x² + 24x + 16

300

(3x³ + 5x² + 2x + 8) (2x + 7)

6x⁴ + 31x³ + 39x² + 30x + 56

400

(8x⁴ + 6x³ + 4x + 2) (2x + 5)

16x⁵ + 52x⁴ + 30x³ + 8x² + 24x + 10

500

(2r³ + 4r² + 6r + 8)²

4r⁶ + 16r⁵ + 40r⁴ + 80r³ + 100r² + 96r + 64