Question

question
factor completely.
$5x^2 - 6x - 8$
answer attempt 1 out of 2

Explanation:

Step1: Find product of coefficients

$5 \times (-8) = -40$

Step2: Find two factors of -40

Factors: 4 and -10 (since $4 + (-10) = -6$)

Step3: Split middle term

$5x^2 + 4x - 10x - 8$

Step4: Factor by grouping

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

Step5: Factor out common binomial

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

Answer:

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