Sabin Finding Zeros of Polynomial functions

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What is a zero of a polynomial function?

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A zero of a polynomial function is a value of x for which the function f(x) equals zero. It represents the x-intercepts of the graph of the polynomial.

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How do you find the zeros of a polynomial function?

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To find the zeros of a polynomial function, you can use methods such as factoring, the quadratic formula, synthetic division, or graphing.

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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 a leading coefficient?

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The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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What is a trinomial?

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A trinomial is a polynomial that consists of three terms.

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What is the maximum number of zeros a polynomial can have?

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A polynomial of degree n can have at most n zeros.

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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 of the form (x - c).

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

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The degree of a polynomial indicates the maximum number of solutions (or zeros) it can have.

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How do you determine the number of real zeros of a polynomial?

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The number of real zeros can be determined using the Fundamental Theorem of Algebra and by analyzing the polynomial's graph.

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What is the Factor Theorem?

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The Factor Theorem states that if f(c) = 0 for a polynomial f(x), then (x - c) is a factor of f(x).