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Which of the following is a root of the polynomial x^2 - 4?

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Question: Which of the following is a root of the polynomial x^2 - 4?

Options:

  1. -2
  2. 0
  3. 2
  4. Both -2 and 2

Correct Answer: Both -2 and 2

Solution: 

Step 1: Factor the polynomial: (x - 2)(x + 2). Step 2: Set each factor to zero: x - 2 = 0 or x + 2 = 0. Roots are x = 2 and x = -2.

Which of the following is a root of the polynomial x^2 - 4?

Practice Questions

Q1
Which of the following is a root of the polynomial x^2 - 4?
  1. -2
  2. 0
  3. 2
  4. Both -2 and 2

Questions & Step-by-Step Solutions

Which of the following is a root of the polynomial x^2 - 4?
  • Step 1: Factor the polynomial x^2 - 4 into (x - 2)(x + 2).
  • Step 2: Set each factor to zero: First, solve x - 2 = 0, which gives x = 2. Then, solve x + 2 = 0, which gives x = -2.
  • Step 3: The roots of the polynomial are x = 2 and x = -2.
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