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Performing operations with polynomials involves addition, subtraction, multiplication, and division. Here's how each operation works: 1. Addition: * Combine like terms: Add the coefficients of terms with the same variable and exponent. * Example: (3x² 2x - 1) (2x² - x 4) = (3x² 2x²) (2x - x) (-1 4) = 5x² x 3 2. Subtraction: * Distribute the negative sign: Change the sign of each term in the polynomial being subtracted. * Combine like terms: Add the coefficients of terms with the same variable an