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What is the factored form of the polynomial x^2 - 9?
What is the factored form of the polynomial x^2 - 9?
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Practice Questions
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Q1
What is the factored form of the polynomial x^2 - 9?
(x - 3)(x + 3)
(x - 9)(x + 1)
(x - 1)(x + 1)
(x + 3)(x + 3)
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Step 1: Recognize it as a difference of squares: x^2 - 3^2. Step 2: Factor: (x - 3)(x + 3).
Questions & Step-by-step Solutions
1 item
Q
Q: What is the factored form of the polynomial x^2 - 9?
Solution:
Step 1: Recognize it as a difference of squares: x^2 - 3^2. Step 2: Factor: (x - 3)(x + 3).
Steps: 3
Show Steps
Step 1: Recognize that x^2 - 9 can be written as a difference of squares. This means it can be expressed as x^2 - 3^2, where 3^2 is 9.
Step 2: Use the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b). Here, a is x and b is 3.
Step 3: Apply the formula: Replace a with x and b with 3 to get (x - 3)(x + 3).
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