Polynomial Multiplication Calculator

Product

How It Works

This polynomial multiplication calculator uses established formulas to provide accurate results.

The basic rule:

  • (a₁x²+b₁x+c₁)(a₂x²+b₂x+c₂)
  • Distribute each term in poly 1 across all terms in poly 2
  • Combine like terms by degree

Results are estimates. Consult a professional for critical decisions.

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Frequently Asked Questions

How do you multiply two polynomials?

Multiply each term in the first polynomial by every term in the second polynomial, then combine like terms. A trinomial times a trinomial produces up to 9 partial products.

What degree is the product of two trinomials?

If both trinomials are degree 2 (highest power is x²), the product can be up to degree 4. In general, the degree of the product is the sum of the degrees of the factors.

Is there a shortcut for polynomial multiplication?

For special cases like (a+b)² or (a-b)(a+b), there are patterns. For general polynomial multiplication, there is no shortcut — you must distribute every term.