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

Practice Questions

Q1
What is the leading coefficient of the polynomial p(x) = -5x^4 + 3x^2 - 2?
  1. -5
  2. 3
  3. -2
  4. 0

Questions & Step-by-Step Solutions

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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