Answer:
[tex](2x-5)(3x+1)[/tex]
Step-by-step explanation:
The given quadratic trinomial is [tex]6x^2-13x-5[/tex]
Where a=6, b=-13 and c=-5
[tex]ac=-30[/tex]
The factors of -30 that add up to -13 are -15,2
We split the middle term to get:
[tex]6x^2+2x-15x-5[/tex]
Factor by grouping:
[tex]2x(3x+1)-5(3x+1)[/tex]
These completely factors to:
[tex](2x-5)(3x+1)[/tex]
