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Which polynomial is a factor of x^2 - 5x + 6?
Which polynomial is a factor of x^2 - 5x + 6?
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Practice Questions
1 question
Q1
Which polynomial is a factor of x^2 - 5x + 6?
x - 2
x - 3
x + 2
x + 3
Show Solution
Copy
x^2 - 5x + 6 factors to (x - 2)(x - 3).
Questions & Step-by-step Solutions
1 item
Q
Q: Which polynomial is a factor of x^2 - 5x + 6?
Solution:
x^2 - 5x + 6 factors to (x - 2)(x - 3).
Steps: 5
Show Steps
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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