Factoring Quadratics

Perfect Square Binomials

100

4x² - 12x + 9

What is (2x-3)²

200

16s² + 8s + 1

What is (4s + 1)²

300

9v² + 6v + 1

What is (3v + 1)²

400

h² - 4h + 4

What is (h - 2)²

500

144p² - 48p + 4

What is (12p - 2)²

Difference of two squares

100

16y² - 9

What is (4y + 3)(4y - 3)

200

25g² - 4

What is (5g + 2)(5g - 2)

300

9j² - 64

What is (3j + 8)(3j - 8)

400

49x² - 81

What is (7x + 9)(7x - 9)

500

169p² - 1

What is (13p + 1)(13p - 1)

a = 1

100

n² + 7n +10

What is (n + 5)(n + 2)

200

g² + 5g + 6

What is (g + 3)(g + 2)

300

z² - 8z - 9

What is (z - 9)(z + 1)

400

q² + 3q - 4

What is (q + 4)(q - 1)

500

v² - 10v + 21

What is (v - 7)(v - 3)

a > 1

100

2m² + 13m + 11

What is (2m + 11)(m + 1)

200

2d² + 9d + 9

What is (2d + 3)(d + 3)

300

5k² + 12k + 4

What is (5k + 2)(k + 2)

400

12s² - 11s + 2

What is (4s - 1)(3s - 2)

500

15w² + 72w - 15

What is 3(5w - 1)(w + 5)

Grouping

100

18z³ + 9z² - 14z - 7

What is (9z² - 7)(2z + 1)

200

7w³ - 14w² - 2w + 4

What is (7w² - 2)(w - 2)

300

r³ + 2r² + 10r + 20

What is (r² + 10)(r + 2)

400

15s³ - 3s² - 20s + 4

What is (3s² - 4)(5s - 1)

500

5v³ - 7v² + 30v - 42

What is (v² + 6)(5v - 7)