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Which of the following is a factor of the polynomial x^2 - 5x + 6?

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Question: Which of the following is a factor of the polynomial x^2 - 5x + 6?

Options:

  1. (x - 2)
  2. (x - 3)
  3. (x + 2)
  4. (x + 3)

Correct Answer: (x - 2)

Solution: 

Step 1: Factor the polynomial: (x - 2)(x - 3). Step 2: The factors are (x - 2) and (x - 3).

Which of the following is a factor of the polynomial x^2 - 5x + 6?

Practice Questions

Q1
Which of the following is a factor of the polynomial x^2 - 5x + 6?
  1. (x - 2)
  2. (x - 3)
  3. (x + 2)
  4. (x + 3)

Questions & Step-by-Step Solutions

Which of the following is a factor of the polynomial x^2 - 5x + 6?
Correct Answer: (x - 2) and (x - 3)
  • Step 1: Look for two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of x). The numbers are -2 and -3.
  • Step 2: Write the polynomial as (x - 2)(x - 3) using the numbers found in Step 1.
  • Step 3: The factors of the polynomial x^2 - 5x + 6 are (x - 2) and (x - 3).
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