Question

How do you factor `5x^2+2x-3`?

Answer 1

`(5x -3)(x+1)`

Explanation:

`5x^2+2x-3`

Find factors of 5 and 3 which subtract (because of -3) to give 2.
There must be more positives. (because of +2)

`5-3=2 rarr` Arrange the factors to have `5xx +1and -3xx1`

`(5x -3)(x+1)`