Question

How do I find the x-intercepts of the graph of `y=x^2-3x-10`?

Answer 1

You set `y = 0` and solve for `x`.

`y = x^2-3x-10 = 0`

`(x-5)(x+2) = 0`

`x-5 = 0` or `x+2 = 0`

`x = 5` or `x = -2`

The `x`-intercepts are at (`5,0`) and (`-2,0`).