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What is the leading coefficient of the polynomial 7x^5 - 2x^3 + 4x - 1?

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Question: What is the leading coefficient of the polynomial 7x^5 - 2x^3 + 4x - 1?

Options:

  1. 7
  2. -2
  3. 4
  4. -1

Correct Answer: 7

Solution: 

The leading coefficient of a polynomial 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^5 - 2x^3 + 4x - 1?

Practice Questions

Q1
What is the leading coefficient of the polynomial 7x^5 - 2x^3 + 4x - 1?
  1. 7
  2. -2
  3. 4
  4. -1

Questions & Step-by-Step Solutions

What is the leading coefficient of the polynomial 7x^5 - 2x^3 + 4x - 1?
  • Step 1: Identify the polynomial given in the question, which is 7x^5 - 2x^3 + 4x - 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^5 has the highest degree because 5 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 7.
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