POLYNOMIAL-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 remainder theorem?

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The remainder theorem states that if a polynomial f(x) is divided by (x - c), the remainder of this division is f(c).

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How do you find the remainder when dividing a polynomial by a linear divisor?

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To find the remainder, substitute the value of c from the divisor (x - c) into the polynomial.

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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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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 this from the original polynomial.

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

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

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The remainder is 5.

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What does it mean if a polynomial division is incorrect?

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It means that the steps taken in the division process did not yield the correct quotient or remainder.