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Classify this polynomial. \[ 3 j^{5} \]

Ask by Harper Mann. in the United States
Nov 23,2024

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The polynomial \( 3j^5 \) is a monomial of degree 5.

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The Deep Dive

This polynomial is classified as a monomial because it consists of only one term. A monomial has the form \( ax^n \), where \( a \) is a coefficient, \( x \) is a variable, and \( n \) is a non-negative integer. Here, the coefficient is 3, the variable is \( j \), and the exponent is 5. In terms of degree, the degree of this polynomial is 5, since that is the highest exponent of the variable \( j \) present. So, it’s both a monomial and of degree 5!

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