Question

How do you factor `15x^2 - 65x - 50`?

Answer 1

`(3x+2)(x-5)`.
`x = -2/3`,
`x = 5`.

Explanation:

We start with:
`15x^2 - 65x - 50`.

First of all, we can simplify by dividing `5`.
`5(3x^2 - 13x - 10)`. This can be written as:
`3x^2 - 13x - 10`.

We now multiply the factor of `x^2`, (3) by the last number (-10).
We get `-30`. We now have to look for multiples that add to -13 and multiply to `-30`. These are `2` and `-15`.

We now lay out the equation as:
`((3x + 2)(3x -15))/3`. We can divide the sec on bracket by 3, leaving us with:
`(3x+2)(x-5)`, which is the final answer.

Hope it Helps! :D .