Polynomial Calculator
⚡ Add, subtract, multiply polynomials of ANY degree. Evaluate P(x) from linear to x^10 and beyond. Step-by-step solutions. 100% free.
The Best Polynomial Calculator Online
Our polynomial calculator handles polynomials of ANY degree—from simple linear expressions to complex x^10 polynomials and beyond. Whether you need to add, subtract, multiply polynomials, or evaluate P(x) at a specific point, just type your polynomial using x^n notation (e.g., 2x^5 - 3x^3 + x) and we'll calculate it with step-by-step explanations. Perfect for algebra, precalculus, and calculus. No signup, no ads—just instant accurate results.
Adding Polynomials
(ax² + bx + c) + (dx² + ex + f) = (a+d)x² + (b+e)x + (c+f)Combine like terms
Subtracting Polynomials
(ax² + bx + c) − (dx² + ex + f) = (a−d)x² + (b−e)x + (c−f)Distribute the negative, then combine
Multiplying Polynomials
(ax + b)(cx + d) = acx² + (ad+bc)x + bdFOIL method or distributive property
Evaluating P(x)
P(x) = substitute x into the polynomialPlug in the value and simplify
Examples
Add: (2x² + 3x + 1) + (x² - 2x + 4)
Subtract: (5x² + 2x - 3) - (2x² + 4x - 1)
Multiply: (x + 2)(x + 3)
Frequently Asked Questions
What is a polynomial?
A polynomial is an expression with variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents. Examples: 3x² + 2x - 5, x⁴ + 1.
How do I add polynomials?
To add polynomials, combine like terms. Like terms have the same variable raised to the same power. Add their coefficients together.
How do I multiply polynomials?
Multiply each term in the first polynomial by each term in the second, then combine like terms. For binomials, use the FOIL method (First, Outer, Inner, Last).
Is this calculator free?
Yes! 100% free with no signup required. Solve unlimited polynomial problems.