Question

What is the completely factored form of 6 x squared minus 13 x minus 5?

Answer 1

Answer:

$(2x-5)(3x+1)$

Step-by-step explanation:

The given quadratic trinomial is $6x^2-13x-5$

Where a=6, b=-13 and c=-5

$ac=-30$

The factors of -30 that add up to -13 are -15,2

We split the middle term to get:

$6x^2+2x-15x-5$

Factor by grouping:

$2x(3x+1)-5(3x+1)$

These completely factors to:

$(2x-5)(3x+1)$