Calculadora de Adição e Subtração de Polinômios (grau 2)

This calculator performs addition and subtraction of second-degree polynomials, in the form p(x) = ax² + bx + c. You enter the coefficients of two polynomials and the desired operation (sum or subtraction). The result is a new polynomial of degree 2, whose coefficients are obtained by term-by-term addition (or subtraction): (a₁ ± a₂)x² + (b₁ ± b₂)x + (c₁ ± c₂).

How it works: the calculator combines the corresponding coefficients of the two polynomials. For addition, it adds the coefficients of x², x, and the constant term. For subtraction, it subtracts the coefficients of the second polynomial from the first. The result is displayed as a simplified polynomial. For example, (2x² + 3x + 1) + (x² - 2x + 4) = 3x² + x + 5.

When to use: ideal for algebra students who need to check exercises on adding and subtracting polynomials, teachers who want to quickly demonstrate the process, or anyone who needs to combine quadratic expressions in contexts like physics, engineering, or economics. Also useful for verifying manual calculations.

Cautions: make sure to enter the coefficients correctly, including negative signs. Remember that subtraction p1 - p2 is equivalent to adding p1 with the opposite of p2. The calculator assumes polynomials of degree 2; if any coefficient is zero, it must be entered as 0 to maintain the structure.