Which of the following describes the term 'leading coefficient' in a polynomial?

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Question: Which of the following describes the term \'leading coefficient\' in a polynomial?

Options:

Correct Answer: The coefficient of the term with the highest degree.

Solution:

The leading coefficient is defined as the coefficient of the term with the highest degree in the polynomial.

Which of the following describes the term 'leading coefficient' in a polynomial?

Which of the following describes the term 'leading coefficient' in a polynomial?

Step 1: Understand what a polynomial is. A polynomial is a mathematical expression that includes variables and coefficients, like '2x^3 + 3x^2 + 4'.
Step 2: Identify the terms in the polynomial. Each part of the polynomial separated by '+' or '-' is called a term.
Step 3: Determine the degree of each term. The degree is the highest exponent of the variable in that term. For example, in '2x^3', the degree is 3.
Step 4: Find the term with the highest degree. This is the term that has the largest exponent.
Step 5: Identify the coefficient of that term. The coefficient is the number in front of the variable. In '2x^3', the coefficient is 2.
Step 6: Conclude that the leading coefficient is the coefficient of the term with the highest degree.

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