QQuestionMathematics
QuestionMathematics
What is the leading coefficient of the following polynomial?
5x^2 − 3x + 6
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Identify the polynomial
The given polynomial is $$5x^{2} - 3x + 6
Step 3:: Understand what a leading coefficient is
The leading coefficient is the coefficient of the highest degree term in the polynomial.
Step 4:: Identify the highest degree term
In this polynomial, the highest degree term is $$5x^{2}
Step 5:: Determine the coefficient
The coefficient of $$x^{2}$$ is 5
Final Answer
Key Points: - The leading coefficient is always the number multiplied by the term with the highest power of the variable - In this case, 5 is multiplied by x^{2}, so 5 is the leading coefficient - The leading coefficient helps characterize the behavior of the polynomial, especially for higher-degree polynomials
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