Question

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

Answer 1

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

Explanation:

Answer 2

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

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)`