Question

Which expression represents the factored form of 6x^2-13x-5?

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

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

C. (6x-5)(x+1)

D. (6x+1)(x-5)

Answer 1

Your answer would be B.
Hope I helped :3

Answer 2

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

Explanation:

Given expression is,

`6x^2-13x-5`

By middle term splitting,

`6x^2-(15-2)x-5`

`6x^2-15x+2x-5` ( By distributive property )

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

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

`\implies 6x^2-13x-5 = (3x+1)(2x-5)`

Hence, option B is correct.