Question

How do you factor `2x^2 + x - 3 =0`?

Answer 1

`(x-1)(2x+3) = 0`

Explanation:

Given:

`2x^2+x-3 = 0`

Note that the sum of the coefficients is `0`. That is:

`2+1-3 = 0`

Hence `x=1` is a root and `(x-1)` a factor:

`0 = 2x^2+x-3 = (x-1)(2x+3)`