Question

How do you factor 5n^2+19n+12?

Answer 1

(5n + 3 )(n+4 )

Explanation:

5n^2+19n+12

(5n + x )(n+y )

5* x + y = 19

xy =12

choices for x and y are 1 ,12 12,1

2.6 6,2

3.4 4,3

Guess and check

x < 4 because we are multiplying by 5

check 3,4

5*3 +4 = 19

(5n + 3 )(n+4 )