Factoring Cubic and Quartic Polynomials

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What is a cubic polynomial?

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What is a quartic polynomial?

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

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What is the Factor Theorem?

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How do you factor a cubic polynomial?

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To factor a cubic polynomial, look for rational roots using the Rational Root Theorem, then use synthetic division or polynomial long division to factor it.

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What is synthetic division?

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What is the Rational Root Theorem?

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What is the difference between a factor and a root?

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A factor is a polynomial that divides another polynomial without a remainder, while a root is a value of x that makes the polynomial equal to zero.

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