Dividing Polynomials by binomials

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2r

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x+1

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What binomial do you divide by to factor the expression 25x^2 - 81?

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(5x - 9)(5x + 9)

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x-5

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What is polynomial long division?

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A method for dividing a polynomial by another polynomial of lower degree.

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Define a polynomial.

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An expression consisting of variables and coefficients, involving only non-negative integer exponents.

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What is a binomial?

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A polynomial with exactly two terms.

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What is the Remainder Theorem?

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If a polynomial f(x) is divided by (x - c), the remainder is f(c).

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What is synthetic division?

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A shortcut method for dividing a polynomial by a binomial of the form (x - c).

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What does it mean to factor a polynomial?

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To express it as a product of its factors.