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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?
x - 2
x + 2
x^2 + 4
x - 1
Questions & Step-by-Step Solutions
Which of the following is a factor of the polynomial x^2 - 4?
Steps
Concepts
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.
No concepts available.
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