Solving polynomials by factoring Honors

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What is a polynomial?

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What does it mean to factor a polynomial?

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What is the degree of a polynomial?

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What is the leading coefficient of a polynomial?

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What is the Factor Theorem?

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How do you find the roots of a polynomial?

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To find the roots of a polynomial, you can set the polynomial equal to zero and solve for the variable. This can involve factoring, using the quadratic formula, or synthetic division.

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What is synthetic division?

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What is the Remainder Theorem?

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What are complex roots?

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Complex roots are solutions to polynomial equations that include imaginary numbers. They occur in conjugate pairs when the coefficients of the polynomial are real.

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What is the relationship between the degree of a polynomial and the number of roots?

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