10.5 Homework Problems: Other Factoring Methods

1. Factor using substitution

a. (x – 11)² + 5(x – 11) – 24

b. (x² + 8) – 5(x² + 8) + 4

c. e^2x + 4e^x – 12

d. 10^2x – 4 (10^x) + 3

e. 40x⁴ + 114x² + 80

2. Factor using “completing the square”

a. 4x² + 4x – 5

b. 3x² + 6x + 18

3. Solve each equation using the quadratic formula

a. m² – 5m – 14 = 0

b. 4b² + 8b + 7 = 4

c. k² – 31 – 2k = -6 – 3k² – 2k

d. x² + 4x + 5 = 0

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