Binomials & Monomials
Perfect Squares
Discriminate & Number of roots
a = 1
Difference of Squares
100

2ab+4c

2(ab+2)

100

r²+6r+9

(r+3)²

100

-2x² - x - 1 = 0

-7 = NO solutions

100

b² + 8b + 7

(b+7)(b+1)

100

16n² - 9

(4n + 3)( 4n - 3)

200

9m³+18n³

9 (m³+2n³)

200

25x² - 40x + 16

(5x - 4)²

200

8b² - 6b = 5b²

0 = 1 solution

200

x² - 4x + 24

Impossible

200

n² - 100

(n + 10)(n - 10)

300

16uv+8uw

8u(2v+w)

300

3n² + 30n + 75

3 (n + 5)²

300

6p² - 2p - 3 = 0

76 = 2 solutions

300

b²+16b+64

(b+8)²

300

16b² - 40b + 25

(4b - 5)²

400

12x²y-42xyz

6xy (2x-7z)

400

100n² - 18x + 3

4 (5n - 20)²

400

8b² - 6b 3 = 5b²

0 = 1 solution

400

a²+11a+18

(a+2)(a+9)

400

98n² - 200

2(7n 10)(7n-10)

500

27a³b²+36a²b³

9a²b² (3a+4b)

500

125x² - 200x + 80

5 (5x - 4)²

500

-9b² = -8b + 8

-224 = No solution

500

6v² + 66v + 60

6 (v 10) (v 1)

500

343b² - 7b

7b (49b - 1)