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In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2

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Question: In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2 term?

Options:

  1. 5
  2. -3
  3. 2
  4. 7

Correct Answer: 2

Solution: 

The coefficient of the x^2 term in the polynomial is 2.

In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2

Practice Questions

Q1
In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2 term?
  1. 5
  2. -3
  3. 2
  4. 7

Questions & Step-by-Step Solutions

In the polynomial 5x^4 - 3x^3 + 2x^2 - x + 7, what is the coefficient of the x^2 term?
  • Step 1: Identify the polynomial given in the question, which is 5x^4 - 3x^3 + 2x^2 - x + 7.
  • Step 2: Look for the term that contains x^2 in the polynomial.
  • Step 3: The term with x^2 is 2x^2.
  • Step 4: The coefficient is the number in front of x^2, which is 2.
  • Step 5: Conclude that the coefficient of the x^2 term is 2.
  • Polynomial Coefficients – Understanding how to identify and extract coefficients from polynomial expressions.
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