Factoring Dividing Polynomials

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What is factoring in polynomials?

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Factoring in polynomials is the process of breaking down a polynomial into simpler components (factors) that, when multiplied together, give the original polynomial.

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What is the quotient in polynomial division?

Back

The quotient is the result obtained when one polynomial is divided by another polynomial.

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What does it mean for a polynomial to be prime?

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A polynomial is considered prime if it cannot be factored into the product of two non-constant polynomials.

Front

How do you divide polynomials?

Back

To divide polynomials, you can use long division or synthetic division, depending on the degree of the polynomials involved.

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Back

Front

What is the first step in polynomial long division?

Back

The first step is to divide the leading term of the dividend by the leading term of the divisor.

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What is a remainder in polynomial division?

Back

The remainder is what is left over after dividing one polynomial by another when the division is not exact.

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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.

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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.