Factor the following: x^2 - 5 x - 24 Hint: | Factor x^2 - 5 x - 24 by finding two numbers whose product is -24 and whose sum is -5. The factors of -24 that sum to -5 are 3 and -8. So, x^2 - 5 x - 24 = (x + 3) (x - 8): Answer: (x + 3) (x - 8)
Factor the following: 49 x^2 - 64 Hint: | Express 49 x^2 - 64 as a difference of squares. 49 x^2 - 64 = (7 x)^2 - 8^2: (7 x)^2 - 8^2 Hint: | Factor the difference of two squares. Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8): Answer: (7 x - 8) (7 x + 8) -24 + 15 x + x^2
Factor the following: x^2 - x - 110 Hint: | Factor x^2 - x - 110 by finding two numbers whose product is -110 and whose sum is -1. The factors of -110 that sum to -1 are 10 and -11. So, x^2 - x - 110 = (x + 10) (x - 11): Answer: (x + 10) (x - 11)___________________________________________________________
Factor the following: 49 x^2 - 64 Hint: | Express 49 x^2 - 64 as a difference of squares. 49 x^2 - 64 = (7 x)^2 - 8^2: (7 x)^2 - 8^2 Hint: | Factor the difference of two squares. Factor the difference of two squares. (7 x)^2 - 8^2 = (7 x - 8) (7 x + 8): Answer: (7 x - 8) (7 x + 8)
Factor the following: 25 x^2 + 40 x - 10 Hint: | Factor out the greatest common divisor of the coefficients of 25 x^2 + 40 x - 10. Factor 5 out of 25 x^2 + 40 x - 10: Answer: 5 (5 x^2 + 8 x - 2)
