Long Division of Polynomials

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What is long division of polynomials?

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Long division of polynomials is a method used to divide a polynomial by another polynomial of lower degree, similar to numerical long division.

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What is the first step in long division of polynomials?

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The first step is to divide the leading term of the dividend by the leading term of the divisor.

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How do you handle the remainder in polynomial long division?

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After dividing, multiply the divisor by the result and subtract from the dividend. The result is the new dividend. If the degree of the new dividend is less than the divisor, that is the remainder.

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What is the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the polynomial.

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What is a polynomial?

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A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

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What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial.