Question

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

Answer 1

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

Explanation:

`"using the a-c method"`

`"the factors of - 6 which sum to + 5 are + 6 and - 1"`

`"'splitting 'the middle term gives"`

`2x^2+6x-x-3larrcolor(blue)"factor by grouping"`

`=color(red)(2x)(x+3)color(red)(-1)(x+3)`

`"take out "color(blue)"common factor "(x+3)`

`=(x+3)(color(red)(2x-1))`

`rArr2x^2+5x-3=(x+3)(2x-1)`