Mastering Factoring 120822

Difference of Squares

100

Factor:  x² - 16

(x - 4)(x + 4)

200

Factor:  x² - 81

(x - 9)(x + 9)

300

Factor:  x² - 100

(x - 10)(x + 10)

400

Factor:  2x² - 72

2(x - 6)(x + 6)

500

Factor:  3x² - 48

3(x - 4)(x + 4)

Square Roots

100

What is the square root of 81?

+/- 9

200

What is the square root of 49?

+/- 7

300

What is the square root of 64?

+/- 8

400

What is the square root of 169?

+/- 13

500

What is the square root of 121?

+/- 11

Factoring Cubics

100

Factor:  a³ - 27

(a - 3)(a² + 3a + 9)

200

Factor:  x³ + 8

(x + 2)(x² - 2x + 4)

300

Factor:  x³ - y³

(x - y)(x² + xy + y²)

400

Factor:  b⁴ - 64b

b(b - 4)(b + 4b + 16)

500

Factor:  8v³ + 125x³

(2v - 5x)(4v² + 10vx + 25x²)

Factoring by Grouping

100

Factor:  x³ + 3x² +x + 3

(x² + 1)(x + 3)

200

Factor:  n³ + 3n² + 5n + 15

(n² + 5)(n + 3)

300

Factor:  10p³ + 4p² + 25p + 10

(2p² + 5)(5p + 2)

400

Factor:  15n³ - 25n² + 3n - 5

(5n² +1)(3n - 5)

500

Factor:  3x³ + 4x² + 9x + 12

(x² + 3)(3x + 4)

Prime Factoring

100

What is the prime factorization of 72?

72 = 2*2*2*3*3

200

What is the prime factorization of 120?

120 = 2*2*2*3*5

300

What is the prime factorization of 38?

38 = 2*19

400

What is the prime factorization of 126?

126 = 2*3*3*7

500

What is the prime factorization of 504?

504 = 2*2*2*3*3*7 or 2³*3²*7