Dividing Polynomials (long 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 the same or lower degree, similar to numerical long division.

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What is the first step in dividing polynomials using 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 quotient in polynomial long division?

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The quotient is found by repeatedly dividing the leading terms, multiplying the entire divisor by the result, and subtracting from the dividend.

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What is a remainder in polynomial long division?

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A remainder is what is left over after dividing the polynomial, which can be expressed as a fraction over the divisor.

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What does it mean if the remainder is zero in polynomial long 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 relationship between the degree of the dividend and the divisor in polynomial long division?

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The degree of the dividend must be greater than or equal to the degree of the divisor for long division to be applicable.