Polynomial Addition Calculator

x² coefficient
x coefficient
Constant
Sum Polynomial

How It Works

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

The basic rule:

  • (a₁x² + b₁x + c₁) + (a₂x² + b₂x + c₂)
  • = (a₁+a₂)x² + (b₁+b₂)x + (c₁+c₂)
  • Combine like terms: add coefficients of same degree

Results are estimates. Consult a professional for critical decisions.

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Frequently Asked Questions

How do you add polynomials?

Line up like terms (terms with the same variable and exponent) and add their coefficients. x² terms combine with x² terms, x terms with x terms, and constants with constants.

Does the order matter when adding polynomials?

No, polynomial addition is commutative. P + Q = Q + P. The result is the same regardless of order.

What are like terms?

Like terms have the same variable raised to the same power. For example, 3x² and -5x² are like terms, but 3x² and 3x are not.