Which of the binomials below is a factor of this trinomial? pls explain for me?

6x^2-5x-25

To factor this notable trinomial, you have to find two numbers that summes give -5 and multiplied give 6*(-25) = -150

Then let's call n1 and n2 the two numbers and a the number before x^2 (6)

ax^2+sx+fn = (ax + n1)(x + n2/a)

Numbers are -15 and +10

-15+10 = -5
-15*10 = -150

So

(6x-15)(x + 10/6)

Or write it as a sum

6x^2 + 10x - 15x - 25

And factor

6x^2 + 10x = 2x(3x+5)

-15x-25 = -5(3x+5)

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

Ithink the answer is b