Polynomial Long Division

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What is Polynomial Long Division?

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A method used to divide polynomials, similar to long division with numbers, where the dividend is divided by a divisor to find the quotient and remainder.

Front

What is the standard form of a polynomial?

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A polynomial is in standard form when its terms are arranged in decreasing order of degree.

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What is a dividend in polynomial division?

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The polynomial that is being divided.

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What is a divisor in polynomial division?

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The polynomial by which the dividend is divided.

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What is a quotient in polynomial division?

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The result obtained from dividing the dividend by the divisor.

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What is a remainder in polynomial division?

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The amount left over after dividing the dividend by the divisor.

Front

How do you determine the degree of a polynomial?

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

Front

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 of the quotient?

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

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What happens if the degree of the dividend is less than the degree of the divisor?

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The quotient is 0 and the dividend becomes the remainder.