Polynomial Factorization Tool
Unravel polynomials into their factored forms effortlessly. Enter the roots and watch the magic happen!
Enter Roots
Input the roots separated by commas (e.g., 1, -2, 3.5).
Factored Polynomial
Understanding the Factored Form
The factored form of a polynomial breaks it down into a product of simpler expressions, revealing its roots. Each root 'r' corresponds to a factor of the form '(x - r)'.
- Root : Factor:
Polynomial Factorization: Quick Guide
Polynomial factorization is like reverse multiplication. We break down a polynomial into simpler parts (factors) that, when multiplied together, give us the original polynomial. For instance, consider the polynomial x² - 4. It can be factored into (x - 2)(x + 2). Here, 2 and -2 are the roots. This tool helps you find the factored form when you input the roots. Just enter the roots separated by commas, and we'll construct the factored polynomial for you. It's useful in algebra to simplify expressions, solve equations, and understand the behavior of polynomial functions.
For further learning, you can explore resources like: