What is the leading coefficient of the polynomial 7x^4 - 3x^3 + 2x - 1?

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Question: What is the leading coefficient of the polynomial 7x^4 - 3x^3 + 2x - 1?

Options:

Correct Answer: 7

Solution:

The leading coefficient is the coefficient of the term with the highest degree, which is 7 in this case.

What is the leading coefficient of the polynomial 7x^4 - 3x^3 + 2x - 1?

What is the leading coefficient of the polynomial 7x^4 - 3x^3 + 2x - 1?

Step 1: Identify the polynomial given, which is 7x^4 - 3x^3 + 2x - 1.
Step 2: Look for the term with the highest degree. The degree of a term is determined by the exponent of x.
Step 3: In the polynomial, the term 7x^4 has the highest degree because 4 is the largest exponent.
Step 4: The leading coefficient is the number in front of the term with the highest degree.
Step 5: In the term 7x^4, the number in front is 7.
Step 6: Therefore, the leading coefficient of the polynomial is 7.

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