Question

How do you factor `5x^2 + 13x - 6`?

Answer 1

`(5x - 2)(x + 3)`

Explanation:

If it is factorable, separate the terms into the form of:
`(ax + b)(cx + d)`e
Where `axxc=` the coefficient on `x^2`;
`bxxd =`the constant term;
and `(axxc)+(bxxd)=`the coefficient on the `x` term.

In this case, we have:
`(5x - 2)(x + 3)`

From there we can also find the solution, or "roots" to the equation by setting each factor equal to zero.
`5x - 2 = 0` and
`x + 3 = 0`

Solution: `x = 2/5` and `x = -3`