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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