x^2 – 5x + 6
To factor the quadratic expression x^2 – 5x + 6, we need to find two numbers that multiply to give 6 and add up to -5 (the coefficient of the middle term)
To factor the quadratic expression x^2 – 5x + 6, we need to find two numbers that multiply to give 6 and add up to -5 (the coefficient of the middle term).
The factors of 6 are:
1 x 6 = 6
2 x 3 = 6
Now, we need to determine which combination of factors adds up to -5. It is clear that 2 and 3 are the pair we are looking for.
So, we can rewrite the quadratic expression as follows:
x^2 – 5x + 6 = (x – 2)(x – 3)
Now, we have factored the quadratic completely.
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