When you divide two polynomials each of degree 1 or higher if the result is a polynomial that result has a smaller degree than either of the two original degrees.

Question

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This is a property of polynomial division known as the degree of the remainder theorem. The degree of the remainder in polynomial division of polynomials of degree n and m (where n ≥ m) is always less than m.

When You Divide Two Polynomials Each of Degree 1 or Higher