Factor the following: 6 x^2 - 19 x + 10 Factor the quadratic 6 x^2 - 19 x + 10. The coefficient of x^2 is 6 and the constant term is 10. The product of 6 and 10 is 60. The factors of 60 which sum to -19 are -4 and -15. So 6 x^2 - 19 x + 10 = 6 x^2 - 15 x - 4 x + 10 = 2 x (3 x - 2) - 5 (3 x - 2): 2 x (3 x - 2) - 5 (3 x - 2) Factor 3 x - 2 from 2 x (3 x - 2) - 5 (3 x - 2): Answer: (3 x - 2) (2 x - 5)
