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

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

Options:

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

Correct Answer: -3

Solution: 

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

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

Practice Questions

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

Questions & Step-by-Step Solutions

In the polynomial f(x) = 2x^3 - 3x^2 + x - 5, what is the coefficient of x^2?
  • Step 1: Look at the polynomial f(x) = 2x^3 - 3x^2 + x - 5.
  • Step 2: Identify the term that contains x^2. In this case, it is -3x^2.
  • Step 3: The coefficient is the number in front of x^2. Here, it is -3.
  • Step 4: Therefore, the coefficient of x^2 is -3.
  • Polynomial Coefficients – Understanding how to identify and extract coefficients from polynomial expressions.
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