Factored Form to Standard Form Converter

Unravel quadratic equations by converting from factored form a(x - r1)(x - r2) to standard form ax² + bx + c.

Coefficient (a)

Root 1 (r1)

Root 2 (r2)

Standard Form:

$$f(x) = ax^2 + bx + c$$ where a = , b = , c =

Visual Representation:

Understanding Factored to Standard Form

A quadratic equation can be expressed in factored form as a(x - r1)(x - r2) = 0, where r1 and r2 are the roots of the equation, and a is the leading coefficient. Expanding this form gives the standard form ax² + bx + c = 0. This converter tool helps you quickly transform from factored to standard form, simplifying analysis and graphing of quadratic functions. Use it to easily find the coefficients a, b, and c for your quadratic equations.