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

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

Options:

  1. x - 2
  2. x + 2
  3. x^2 + 4
  4. x - 1

Correct Answer: x - 2

Solution: 

The polynomial x^2 - 4 can be factored as (x - 2)(x + 2). Therefore, x - 2 is a factor.

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

Practice Questions

Q1
Which of the following is a factor of the polynomial x^2 - 4?
  1. x - 2
  2. x + 2
  3. x^2 + 4
  4. x - 1

Questions & Step-by-Step Solutions

Which of the following is a factor of the polynomial x^2 - 4?
  • Step 1: Identify the polynomial we are working with, which is x^2 - 4.
  • Step 2: Recognize that x^2 - 4 is a difference of squares. The formula for factoring a difference of squares is a^2 - b^2 = (a - b)(a + b).
  • Step 3: In our case, a is x and b is 2, because 4 is 2^2.
  • Step 4: Apply the difference of squares formula: x^2 - 4 = (x - 2)(x + 2).
  • Step 5: From the factored form (x - 2)(x + 2), we can see that x - 2 is one of the factors.
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