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Polynomial division

8 videos

Know What Is Polynomial Division? thumbnail
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Algebra 2 - What Is Polynomial Division?

Learn the concept of polynomial division as the reverse of multiplication. Understand how dividing polynomials works like regular division with numbers.

Know Dividing Polynomials by Monomials thumbnail
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Algebra 2 - Dividing Polynomials by Monomials

Learn how to divide polynomials by monomials by splitting each term and simplifying separately. Includes step-by-step example with exponent rules.

Know How Polynomial Long Division Works thumbnail
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Algebra 2 - How Polynomial Long Division Works

Learn polynomial long division using the same four-step process as regular division: divide, multiply, subtract, bring down. Example shows dividing x²+5x+6 by x+2.

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Algebra 2 - Long Division with Remainders

Learn polynomial long division by dividing 2x²+7x+9 by x+2, resulting in quotient 2x+3 with remainder 3. Understand how to express remainders as fractions.

Know Dividing Higher-Degree Polynomials (and Missing Terms) thumbnail
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Algebra 2 - Dividing Higher-Degree Polynomials (and Missing Terms)

Learn how to divide polynomials with missing terms using placeholders. This tutorial demonstrates long division with x³ + 5x - 2 divided by x + 3.

Know Factoring Polynomials Using Division thumbnail
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Algebra 2 - Factoring Polynomials Using Division

Learn how to factor a cubic polynomial completely when given one factor. Divide by the known factor, then factor the resulting quotient to find all linear factors.

Know The Polynomial Remainder Theorem thumbnail
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Algebra 2 - The Polynomial Remainder Theorem

Learn the Polynomial Remainder Theorem, a quick shortcut to find remainders without long division. Discover how plugging in a value instantly gives you the answer.

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Algebra 2 - Using the Remainder Theorem to Find Factors and Coefficients

Learn the Factor Theorem: check if x-a is a polynomial factor by evaluating p(a). If p(a)=0, it's a factor—no long division needed!