Solving Polynomial Equations

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Define a polynomial equation.

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A polynomial equation is an equation that involves a polynomial expression, which is a mathematical expression consisting of variables raised to whole number powers and coefficients.

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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 expression.

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What is the Fundamental Theorem of Algebra?

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The Fundamental Theorem of Algebra states that every non-constant polynomial equation has at least one complex root.

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What is a root of a polynomial?

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A root of a polynomial is a value of the variable that makes the polynomial equal to zero.

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What is synthetic division?

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Synthetic division is a simplified method of dividing a polynomial by a linear binomial, which is faster than long division.