End Behavior & Polynomials Intro

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What is the end behavior of a polynomial function with an even degree and a positive leading coefficient?

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What is the end behavior of a polynomial function with an odd degree and a positive leading coefficient?

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What is the end behavior of a polynomial function with an even degree and a negative leading coefficient?

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What is the end behavior of a polynomial function with an odd degree and a negative leading coefficient?

Back

Front

Define a polynomial function.

Back

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Front

What are the classifications of polynomials based on their degree?

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Polynomials are classified as constant (degree 0), linear (degree 1), quadratic (degree 2), cubic (degree 3), quartic (degree 4), quintic (degree 5), and so on.

Front

What are the classifications of polynomials based on the number of terms?

Back

Polynomials can be classified as monomials (1 term), binomials (2 terms), and trinomials (3 terms).

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Front

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

Back

The leading coefficient determines the end behavior of the polynomial function.