Solving Polynomial Equations (2024)

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What does the degree of a polynomial determine?

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The degree of the polynomial determines the number of roots/zeros/solutions.

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What is synthetic division used for in polynomial equations?

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Synthetic division is used to divide a polynomial by a linear factor, simplifying the polynomial into a factored form.

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How do you determine the number of imaginary zeros from a graph?

Back

The number of imaginary zeros can be determined by analyzing the graph's intersections with the x-axis and the degree of the polynomial.

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Front

Define a polynomial equation.

Back

A polynomial equation is an equation that equates a polynomial expression to zero.

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What is a root of a polynomial?

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

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Explain the concept of synthetic division.

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Synthetic division is a simplified method of dividing a polynomial by a linear binomial, using coefficients instead of variables.

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

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The degree of a polynomial indicates the maximum number of roots it can have, including real and complex roots.

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What is a factor of a polynomial?

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A factor of a polynomial is a polynomial of lower degree that divides the original polynomial without leaving a remainder.