QUESTION IMAGE
Question
find the number of terms and the degree of this polynomial.
-3k¹⁰ - 10k
number of terms:
degree:
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Step1: Identify terms
A term in a polynomial is a single number, variable, or product of numbers and variables. In the polynomial \(-3k^{10}-10k\), the terms are \(-3k^{10}\) and \(-10k\). So we count them.
Number of terms: \(2\)
Step2: Find the degree
The degree of a term is the sum of the exponents of its variables. For \(-3k^{10}\), the exponent of \(k\) is \(10\), so its degree is \(10\). For \(-10k\), the exponent of \(k\) is \(1\), so its degree is \(1\). The degree of the polynomial is the highest degree of its terms. So we take the maximum of \(10\) and \(1\).
Degree: \(10\)
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Number of terms: \(2\)
Degree: \(10\)