Polynomial Arithmetic, Automated

Adding, subtracting, and multiplying polynomials is mechanical but error-prone by hand — especially when degrees climb. This polynomial calculator parses standard algebraic notation and performs the operations on coefficient arrays, so the result is always exact and normalized.

Coefficients Do the Work

Every polynomial is stored as its coefficient list, from leading term down. Addition aligns degrees, multiplication convolves the arrays, and formatting rebuilds the human-readable expression — the same pipeline computer algebra systems use.

See the Shape

The result curve plots f(x) across the range, turning algebra into geometry. Where the curve crosses the x-axis, real roots live; the degree tells you how many there are in total, counting complex ones.