Question

factor and show steps: 15x^2 - 2x - 8 (I don't need the solution just the factored form) ...

Answer 1

Answer:

15x^2 -2x -8

15x^2 +10x -12x -8

5x(3x+2) - 4(3x+2)

(5x-4) (3x+2)

Answer 2

Step-by-step explanation:

$15 {x}^{2} - 2x - 8$

$15 {x}^{2} - 12x + 10x - 8 = 0$

$3x(5x - 4) + 2(5x - 4) = 0$

$(3x + 2)(5x - 4) = 0$

$3x + 2 = 0 \: \: \: \: \: \: \: \: \: \: \: 5x - 4 = 0$

$x = \frac{ - 2}{3} \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{4}{5}$