Polynomial Expander
Expand factored polynomials to standard form easily with our online Polynomial Expander tool. Get step-by-step expansion and understand the process.
Enter Factored Polynomial
Expanded Polynomial
Expansion Steps
Expanding a polynomial involves applying the distributive property to multiply out the factors. Here's a breakdown of the process:
- Final Expanded Form:
Understanding Polynomial Expansion
Polynomial expansion is the process of rewriting a polynomial expression from a factored form to a standard form. The factored form presents the polynomial as a product of factors, while the expanded form expresses it as a sum of terms, each being a coefficient multiplied by powers of the variable.
For example, expanding (x+1)(x+2) involves multiplying each term in the first factor by each term in the second factor:
- x * x + x * 2 + 1 * x + 1 * 2
- x² + 2x + x + 2
- x² + 3x + 2
This tool simplifies this process, allowing you to quickly expand complex factored polynomials. It's useful in algebra, calculus, and various mathematical fields for simplifying expressions and solving equations.