Long Division and Synthetic Division

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What is long division in algebra?

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A method for dividing polynomials where the dividend is divided by the divisor step by step, similar to numerical long division.

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What is synthetic division?

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A simplified form of polynomial division that uses coefficients to divide a polynomial by a linear factor.

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How do you set up synthetic division?

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Write the coefficients of the polynomial in a row, and use the zero of the divisor as the number to the left.

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What is the divisor in polynomial division?

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The polynomial by which another polynomial is divided.

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What is the dividend in polynomial division?

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The polynomial that is being divided.

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What is the quotient in polynomial division?

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

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What is the remainder in polynomial division?

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The part of the dividend that is left over after division when the divisor does not evenly divide the dividend.

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How do you determine the number of zeros needed in synthetic division?

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Count the degree of the dividend polynomial and subtract the degree of the divisor polynomial.

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What is the standard form of a polynomial?

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A polynomial is in standard form when its terms are arranged in descending order of their degrees.

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