How do you convert standard form to factored form?

Answer 1

To convert a quadratic equation from standard form (ax^2 + bx + c) to factored form, you first need to find the roots of the equation by using the quadratic formula or factoring techniques. Once you have the roots, you can rewrite the equation as a product of linear factors, such as (x - r1)(x - r2), where r1 and r2 are the roots of the equation. This process allows you to express the quadratic equation in factored form, which can be useful for solving and graphing the equation.

Answer 2

You can convert standard form to factored form by using a factoring tree to convert to the long-form factored format. You can also work backwards to convert from factored to standard form.