Polynomial Multiplication Calculator

The user enters the coefficients for each polynomial separated by space, where a coefficient can be any number type (integer, real, or complex). If a polynomial term is empty, the coefficient for that term should be zero.

The calculator first checks the degree of each polynomial, which is determined by the highest power of the variable in the polynomial. It then multiplies the coefficients of each term in one polynomial by each term in the other polynomial and combines the like terms, simplifying the resulting polynomial as much as possible.

Polynomial multiplication

Polynomial 1

Polynomial 2

Calculate

Calculation precision

Exact

Rounded

Digits after the decimal point: 2

Problem

 

Result

 

 Link  Save  Widget

Polynomial multiplication formula:
(a_rx^r + ... + a₀)(b_sx^s + ... + b₀)=p_r+sx^r+s + ... + p₀,
where p_k=a₀b_k + a₁b_k-1 + ... + a_k-1b₁ + a_kb₀
Note: a_i = 0 when i>r and b_j = 0 when j>s ¹