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In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?

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Question: In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?

Options:

  1. -3
  2. 2
  3. 1
  4. -5

Correct Answer: -3

Solution: 

The coefficient of x^3 in the polynomial f(x) = 2x^4 - 3x^3 + x - 5 is -3.

In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?

Practice Questions

Q1
In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?
  1. -3
  2. 2
  3. 1
  4. -5

Questions & Step-by-Step Solutions

In the polynomial f(x) = 2x^4 - 3x^3 + x - 5, what is the coefficient of x^3?
  • Step 1: Identify the polynomial given in the question, which is f(x) = 2x^4 - 3x^3 + x - 5.
  • Step 2: Look for the term that contains x^3 in the polynomial.
  • Step 3: The term with x^3 is -3x^3.
  • Step 4: The coefficient is the number in front of x^3, which is -3.
  • Step 5: Conclude that the coefficient of x^3 in the polynomial is -3.
  • Polynomial Coefficients – Understanding how to identify and extract coefficients from polynomial expressions.
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