# Is it possible to factor y= x^2+5x-14 ? If so, what are the factors?

Yes this formula $y = \left(x + a\right) \left(x + b\right) = {x}^{2} + \left(a + b\right) x + a \cdot b$
In this case $a + b = 5$ and $a \cdot b = - 14$. You can solve one of these equations, let's say that $b = 5 - a$. Now you can plug $b$ into the other equation $a \cdot b = - 14$. Therefore $a \left(5 - a\right) = - 14$. $5 a - {a}^{2} = - 14$. That gets you close, but typically there is some guessing and checking with these problems. The more you practice, however, the faster you will get at solving them.