6x^2 - 19x + 10

Factor

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

Step-by-step explanation:

1) When factoring quadratic equations in for ax²+bx+c you need to separate the b term in a way that the two addends you separate it by should equal a•c. Just do trial and error. In this case you should get - 4 and - 15. Your separated equation should be:

6x²-4x-15x+10

2) now factor out a common factor from the first two terms and one from the last two terms you should have:

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

3) finally rewrite this equation into two separate factors and you have your answer.