Honors Division of Polynomials

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What is the Remainder Theorem?

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How do you find the remainder of a polynomial division?

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To find the remainder of a polynomial division, you can use synthetic division or the Remainder Theorem, which involves evaluating the polynomial at the value that makes the divisor zero.

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What is synthetic division?

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What is the Factor Theorem?

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How do you perform polynomial long division?

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To perform polynomial long division, divide the leading term of the dividend by the leading term of the divisor, multiply the entire divisor by that result, subtract from the dividend, and repeat with the new polynomial.

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What is the significance of the leading coefficient in polynomial division?

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The leading coefficient affects the end behavior of the polynomial and can influence the degree of the quotient in polynomial division.

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What does it mean if a polynomial has a degree of 3?

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A polynomial of degree 3 is a cubic polynomial, which can have up to 3 real roots and its graph can have one or two turning points.