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

Practice Questions

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

Questions & Step-by-Step Solutions

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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