which type of quadratic equation is most useful?

Finding x-intercepts (a.k.a zeros, solutions, roots)
is it standard form, vertex form, or factored form

The most useful type of quadratic equation for finding x-intercepts (zeros, solutions, roots) is factored form. This is because the factored form makes it easy to quickly identify the x-intercepts by setting each factor equal to zero and solving for x. The factored form of a quadratic equation is in the form of (x - r)(x - s), where r and s are the x-intercepts.