Polynomial Multiplication Calculator
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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Explore Allday Everyday Math →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.