How to Factor the Expression x² – 11x + 24 in Math

x^2 – 11x + 24

To factor the expression x^2 – 11x + 24, we need to find two numbers whose sum is -11 and whose product is 24

To factor the expression x^2 – 11x + 24, we need to find two numbers whose sum is -11 and whose product is 24. These numbers are -3 and -8.

Now we can rewrite the expression as:

x^2 – 3x – 8x + 24

Next, let’s group the terms and factor by grouping:

(x^2 – 3x) + (-8x + 24)

Now, we can factor out the greatest common factor from each group:

x(x – 3) – 8(x – 3)

Notice that we now have a common binomial factor of (x – 3). We can factor it out:

(x – 3)(x – 8)

So, the factored form of x^2 – 11x + 24 is (x – 3)(x – 8).

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