Polynomial arithmetic

Polynomials can be added, subtracted, and multiplied just like whole numbers, and the result is always another polynomial: adding or subtracting combines like terms, like (2x^2 + 3x) + (x^2 - x) = 3x^2 + 2x, and multiplying distributes each term of one polynomial across every term of the other, like (x + 1)(x + 4) = x^2 + 5x + 4.

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