Polynomial Long and Synthetic Division

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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 lower degree, similar to numerical long division.

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What is Synthetic Division?

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Synthetic Division is a simplified form of polynomial division that is used when dividing by a linear factor, typically in the form of (x - c).

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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 check the result of Polynomial Long Division?

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You can check the result by multiplying the quotient by the divisor and adding the remainder. The result should equal the original dividend.

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What does it mean if the remainder is zero in Polynomial Division?

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If the remainder is zero, it means that the divisor is a factor of the dividend.

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What is the standard form of a polynomial?

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What term must be added to the dividend if it is missing a degree?

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What is the purpose of using Synthetic Division?

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Synthetic Division is used to simplify the process of dividing polynomials, especially when the divisor is a linear polynomial.

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What goes next to the number 5 in Synthetic Division if the divisor is (x - 5)?

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The next number is the result of multiplying the last number in the row by 5 and adding it to the next coefficient.