Algebra

Polynomial Addition Calculator

Easily add two polynomials online with our Polynomial Addition Calculator. Enter coefficients and get the sum instantly. Perfect for algebra and math homework.

Enter coefficients from highest to lowest degree, separated by commas.

Enter coefficients from highest to lowest degree, separated by commas.

Result

Polynomial 1:

Polynomial 2:

Sum:

Sum Coefficients:

Understanding Polynomial Addition

Polynomial addition is a fundamental operation in algebra that combines two or more polynomials into a single polynomial. To add polynomials, you simply add the coefficients of like terms (terms with the same variable and exponent).

For example, to add \( (3x^2 + 2x + 1) \) and \( (x^2 - x + 4) \), you combine like terms:

  • Combine \( x^2 \) terms: \( 3x^2 + x^2 = 4x^2 \)
  • Combine \( x \) terms: \( 2x - x = x \)
  • Combine constant terms: \( 1 + 4 = 5 \)

Thus, the sum is \( 4x^2 + x + 5 \). This calculator simplifies this process by directly accepting polynomial coefficients. Just input the coefficients separated by commas, and it will compute the sum and display the resulting polynomial.

Learn more about polynomial addition on resources like Khan Academy or Wikipedia.