How to Factor a Quadratic Expression: Step-by-Step Guide with Examples

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.

More Answers: