Polynomial Long Division

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What is Polynomial Long Division?

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A method for dividing a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

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What is the first step in Polynomial Long Division?

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Divide the leading term of the dividend by the leading term of the divisor.

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What do you do after finding the first term in Polynomial Long Division?

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Multiply the entire divisor by the term found and subtract the result from the dividend.

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What is the purpose of finding the remainder in Polynomial Long Division?

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To determine what is left over after the division process, which can be used to check the accuracy of the division.

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How do you express the result of Polynomial Long Division?

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The result is expressed as the quotient plus the remainder divided by the divisor.

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What is the remainder theorem?

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If a polynomial f(x) is divided by (x - c), the remainder is f(c).

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What is the significance of the degree of a polynomial in long division?

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The degree helps determine how many times the divisor can fit into the dividend and guides the division process.

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What is synthetic division?

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A simplified form of polynomial division that is used when dividing by linear factors.

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When can you use synthetic division?

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When dividing a polynomial by a linear polynomial of the form (x - c).

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What is the result of dividing (x^2 + 3x + 2) by (x + 1)?

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The result is x + 2 with a remainder of 0.