Factoring and Solving Trinomials where a = 1

Factoring

100

Factor:

x² - 2x - 24

(x + 4)(x - 6)

200

Factor:

x² + 11x + 28

(x + 7)(x + 4)

300

Factor:

x² + 2x - 15

(x + 5)(x - 3)

400

Factor:

x² + 4x - 32

(x + 8)(x - 4)

500

Factor:

x²  - 16

(x + 4)(x - 4)

Solving 1

100

Solve:

x² - 3x - 4 = 0

x = 4, -1

200

Solve:

x² - 11x + 28 = 0

x = 7, 4

300

Solve:

x² + 13x + 42 = 0

x = -6, -7

400

Solve:

x² + 10x + 24 = 0

x = -6, -4

500

Solve:

x² -  x - 30 = 0

x = 6, -5

Solving 2

100

Solve:

x² + 10x + 8 = -8

x = -8, -2

200

Solve:

x² + 3x - 33 = -5

x = -7, 4

300

Solve:

x² + 4x - 6 = 6

x = 2, -6

400

Solve:

x² - 10x + 24 = 3

x = 3, 7

500

Solve:

x² - 13x + 49 = 49

x = 0, 13

Solving 3

100

Solve:

x²  + x = 56

x = 7, -8

200

Solve:

x²  - 14x = -48

x = 6, 8

300

Solve:

x²  + 9x = -14

x = -7, -2

400

Solve:

x²  = -x + 42

x = -7, 6

500

Solve:

x²  = -2x + 48

x = -8, 6

Solving 4

100

Solve:

2x²  2x = 112

x = 7, -8

200

Solve:

8x²  - 104x = -336

x = 7, 6

300

Solve:

6x²  + 72 = 42x

x = 3, 4

400

Solve:

3x²  = 3x + 36

x = 4, -3

500

Solve:

8x²  = -320 - 104x

x = -5, -8