Solving Polynomial Equations

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What is a polynomial equation?

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What is the degree of a polynomial?

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How many solutions can a polynomial equation have?

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A polynomial equation of degree n can have at most n solutions (real or complex). For example, a cubic polynomial (degree 3) can have up to 3 solutions.

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What are x-intercepts of a polynomial?

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X-intercepts are the points where the graph of the polynomial crosses the x-axis. They are found by setting the polynomial equal to zero and solving for x.

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What is factoring by grouping?

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What is the Rational Root Theorem?

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What is the significance of 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. This implies that a polynomial of degree n has exactly n roots, counting multiplicities.

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What is a complex root?

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