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

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

Options:

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

Correct Answer: x - 2

Solution: 

x^2 - 5x + 6 factors to (x - 2)(x - 3).

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

Practice Questions

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

Questions & Step-by-Step Solutions

Which polynomial is a factor of x^2 - 5x + 6?
Correct Answer: (x - 2)(x - 3)
  • Step 1: Start with the polynomial x^2 - 5x + 6.
  • Step 2: Look for two numbers that multiply to 6 (the constant term) and add up to -5 (the coefficient of x).
  • Step 3: The numbers -2 and -3 multiply to 6 and add to -5.
  • Step 4: Write the polynomial as (x - 2)(x - 3) using the numbers found.
  • Step 5: Therefore, (x - 2) and (x - 3) are factors of the polynomial x^2 - 5x + 6.
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