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.
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.
- Factored Form: a(x - r1)(x - r2)
- Standard Form: ax² + bx + c
- Conversion is done by expanding the factored form.
- Visual graph helps understand the curve of the quadratic function.