Question

How do you factor `x^2+3xy-10y^2`?

Answer 1

We are looking for `a` and `b` such that
`a+b = 3` and
`axxb=-10`

A quick check of possible factors for `(-10)` gives us:
`x^2+3xy-10y^2`

`=(x+5y)(x-2y)`