What are the factors of 6n2 plus 19n-10?

Answer 1

Find two integers such that they add up of 19 and multiply altogether to get -60. We can't determine these values with these conditions since:

xy = -60

x + y = 19

y = -60/x

x - 60/x = 19

x² - 60 = 19x

x² - 19x = 60

x² - 19x + (-19/2)² = 60 + (-19/2)²

(x - 19/2)² = 601/4

Since 601/4 is not the perfect square term, there are no factors of 6n² + 19n - 10.