Polynomial Division

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What is Polynomial Division?

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Polynomial Division is the process of 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 Remainder Theorem?

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The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).

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What is the Factor Theorem?

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The Factor Theorem states that (x - c) is a factor of the polynomial f(x) if and only if f(c) = 0.

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How do you perform polynomial long division?

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1. Divide the leading term of the dividend by the leading term of the divisor. 2. Multiply the entire divisor by this result. 3. Subtract this from the dividend. 4. Repeat the process with the new polynomial.

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What is synthetic division?

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Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor of the form (x - c).

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What is the leading coefficient of a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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What is the degree of a polynomial?

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

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What is a monomial?

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A monomial is a polynomial with only one term.

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What is a binomial?

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A binomial is a polynomial with exactly two terms.

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What is a trinomial?

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A trinomial is a polynomial with exactly three terms.