Factor.
x, squared, plus, 11, x, plus, 24
x
2
+11x+24
The factored form of x^2 + 11x + 24 is (x + 3)(x + 8)
To factor the expression x^2 + 11x + 24, we need to find two numbers whose sum is 11 and product is 24. These numbers are 3 and 8. Therefore, we can rewrite the expression as:
(x + 3)(x + 8)
To factor the quadratic expression x^2 + 11x + 24, we need to find two numbers that multiply to 24 and add up to 11, which are 3 and 8.
Now, we can rewrite the expression as:
x^2 + 3x + 8x + 24
Next, we group the terms:
(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 have a common binomial factor, (x + 3), in each term. We can factor it out:
(x + 3)(x + 8)
So, the factored form of x^2 + 11x + 24 is (x + 3)(x + 8).