QQuestionMathematics
QuestionMathematics
What are the leading coefficient and degree of the polynomial 5?
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Understand the given polynomial
The polynomial is simply 5, which is a constant polynomial.
Step 3:: Determine the degree
• In this case, the polynomial 5 can be written as $$5x^{0}
• The degree of a polynomial is the highest power of the variable • The exponent is 0 • Therefore, the degree is 0
Step 4:: Determine the leading coefficient
• The leading coefficient is the coefficient of the term with the highest degree • In this case, the coefficient is 5 • The leading coefficient is 5
Final Answer
• Leading Coefficient: 5 • Degree: 0 Key Insights: - A constant polynomial always has a degree of 0 - The constant itself serves as the leading coefficient - 5 can be written as 5x^{0}, where the exponent is 0
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