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Classify this polynomial. \( -4 m^{6}+5 m^{7} \)

Ask by Daniels Frazier. in the United States
Dec 06,2024

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The polynomial is a binomial of degree 7.

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This polynomial is a binomial, as it contains two terms: \( -4 m^{6} \) and \( 5 m^{7} \). The highest power of the variable \( m \) in this polynomial is 7, which makes it a seventh-degree polynomial as well. When classifying polynomials, we can also identify the leading term and coefficient; here, the leading term is \( 5 m^{7} \) and the leading coefficient is 5. This means as \( m \) approaches infinity, this polynomial will grow significantly, indicating its dominant behavior!

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