Solving polynomials by factoring

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What is a polynomial?

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What are the zeros of a polynomial?

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The zeros of a polynomial are the values of the variable that make the polynomial equal to zero. They are also known as the roots of the polynomial.

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How do you find the zeros of a polynomial by factoring?

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To find the zeros of a polynomial by factoring, express the polynomial as a product of its factors and set each factor equal to zero. Solve for the variable to find the zeros.

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What is the degree of a polynomial?

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What is the factored form of a polynomial?

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What is the significance of the leading coefficient in a polynomial?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial. It affects the end behavior of the polynomial's graph.

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How do you determine the number of zeros a polynomial can have?

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A polynomial of degree n can have at most n real zeros. The actual number of real zeros can be less than n, depending on the polynomial.

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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 relationship between the zeros and the factors of a polynomial?

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