Alg 2 - Long Division of Polynomials

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What is polynomial long division?

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Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

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What is the first step in polynomial long division?

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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 find the remainder in polynomial long division?

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The remainder is found by subtracting the product of the divisor and the quotient from the original polynomial (dividend).

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What is the quotient in polynomial long division?

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The quotient is the result of the division, representing how many times the divisor fits into the dividend.

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What does it mean if the degree of the remainder is less than the degree of the divisor?

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It means that the division process is complete, and the remainder cannot be divided further by the divisor.

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What is the significance of the leading coefficient in polynomial long division?

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The leading coefficient helps determine the first term of the quotient during the division process.

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What is synthetic division?

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Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.