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If a polynomial f(x) = x^2 - 4, what are its roots?

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Question: If a polynomial f(x) = x^2 - 4, what are its roots?

Options:

  1. -2, 2
  2. 0, 4
  3. 1, -1
  4. 2, 2

Correct Answer: -2, 2

Solution: 

Setting f(x) = 0 gives x^2 - 4 = 0, so x = ±2.

If a polynomial f(x) = x^2 - 4, what are its roots?

Practice Questions

Q1
If a polynomial f(x) = x^2 - 4, what are its roots?
  1. -2, 2
  2. 0, 4
  3. 1, -1
  4. 2, 2

Questions & Step-by-Step Solutions

If a polynomial f(x) = x^2 - 4, what are its roots?
Correct Answer: ±2
  • Step 1: Start with the polynomial f(x) = x^2 - 4.
  • Step 2: To find the roots, set f(x) equal to 0: x^2 - 4 = 0.
  • Step 3: Rearrange the equation to isolate x^2: x^2 = 4.
  • Step 4: Take the square root of both sides: x = ±√4.
  • Step 5: Calculate the square root: x = ±2.
  • Step 6: The roots of the polynomial are x = 2 and x = -2.
  • Polynomial Roots – Understanding how to find the roots of a polynomial by setting it equal to zero and solving for x.
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