What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?

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Question: What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?

Options:

Correct Answer: -5

Solution:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree, which in this case is -5.

What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?

What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?

Step 1: Identify the polynomial given, which is p(x) = -5x^4 + 3x^2 - 2.
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 -5x^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. In this case, it is -5.
Step 5: Therefore, the leading coefficient of the polynomial is -5.

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