How do you factor 16n^2+ 43n -15?

1 Answer
May 31, 2016

(16n-5)(n+3)

Explanation:

Any quadratic that can be factored can be expressed in the general form (ax+b)(cx+d) = acx^2 +(ad+bd)x +bd

We therefore need to find factors of 16 and -15 that in the right combination will give 43

16 =16*1 and 15 =5*3

3*16 = 48

48-5*1=43

:.16n^2+43n-15 = (16n-5)(n+3)