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STATION 1 Adding, Subtracting, Multiplying, and Classifying PolynomialsI. Fill in the chart: Classification by degree Classification by # of terms ExampleCubic TrinomialQuinticLinear7th Degree PolynomialII.
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How to fill out classifying polynomials based on

01
Start by identifying the terms in the polynomial expression.
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Determine the degree of the polynomial, which is the highest power of the variable in the expression.
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Classify the polynomial based on its degree:
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- If the degree is 1, it is a linear polynomial.
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- If the degree is 2, it is a quadratic polynomial.
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- If the degree is 3, it is a cubic polynomial.
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- If the degree is 4, it is a quartic polynomial.
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- If the degree is 5 or higher, it is a higher-degree polynomial.
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Next, classify the polynomial based on the number of terms it has:
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- If it has one term, it is a monomial.
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- If it has two terms, it is a binomial.
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- If it has three terms, it is a trinomial.
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- If it has four or more terms, it is a polynomial with more than three terms.
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Finally, classify the polynomial based on its coefficients:
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- If all the coefficients are nonzero, it is a polynomial with nonzero coefficients.
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- If any of the coefficients are zero, it is a polynomial with zero coefficients.

Who needs classifying polynomials based on?

01
Students studying algebra and polynomial expressions.
02
Mathematics teachers teaching polynomial classification.
03
Researchers or mathematicians working with polynomial functions.
04
Individuals interested in understanding and working with polynomial expressions.

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Classifying polynomials is based on their degree and the number of terms they contain.
Mathematicians, educators, and students who are involved in polynomial analysis are typically required to file classifying polynomials.
To fill out classifying polynomials, one needs to identify the degree and the number of terms of the polynomial and categorize it accordingly.
The purpose of classifying polynomials is to simplify their study, facilitate problem-solving, and enhance understanding of polynomial behavior.
The information that must be reported includes the degree of the polynomial, the number of terms, and the coefficients.
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