Convert to factored form and write the zero as coordinate (x,y) of this question x^2-x-6=

Hello!

To factor a polynomial `p(x),` it is sufficient to find its roots, `p(x)=0.`

Here `p(x)=x^2-x-6` and the equation is `x^2-x-6=0.`

The roots may be guessed, the integer ones must be factors (positive or negative) of `-6.` Also this equation may be solved as a quadratic one by the formula.

Regardless of a method, the roots are `x=3` and `x=-2` (you may check). The factored form is therefore

`x^2-x-6=(x-3)(x+2)`

(check also by opening the parentheses). `x+2` is the same as `x-(-2).`

The coordinates of the roots are (3, 0) and (-2, 0)  (`y=0` because they are roots, or zeros).