SOLUTION: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?

Algebra ->  Square-cubic-other-roots -> SOLUTION: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?      Log On


   



Question 1029914: If the quadratic 3x^2+bx+10 can be written in the form a(x+m)^2+n, where m and n are integers, what is the largest integer that must be a divisor of b?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
3x%5E2%2Bbx%2B10+=+3%28x+%2B+b%2F6%29%5E2+%2B+%28120+-+b%5E2%29%2F12.
As given, b/6 and %28120+-+b%5E2%29%2F12 must be integers.
==> The largest integer that must divide b should be 6.