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If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coeffic

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Question: If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coefficient of the x^2 term?

Options:

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

Correct Answer: -4

Solution: 

In the polynomial P(x), the coefficient of the x^2 term is -4.

If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coeffic

Practice Questions

Q1
If a polynomial is expressed as P(x) = 2x^3 - 4x^2 + 3x - 5, what is the coefficient of the x^2 term?
  1. 2
  2. -4
  3. 3
  4. -5

Questions & Step-by-Step Solutions

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