Question

factor 2x^2-19x+24

Answer 1

-b\[\frac{ -b \pm \sqrt{4ac} }{ 2a }\]

Answer 2

16 + 3 = 19

Answer 3

Split the middle term:
2x^2-19x+24
= 2x^2-(16x+3x)+24
= 2x^2-16x-3x+24
Take out the common factor(s) for the first two terms and the last two terms, I'll try the first two terms as the example.
= 2x(x-8) -3x+24
Can you factorize the last two terms?