Question

this is the only question in this section.
question
factor.
$x^2 + 11x + 24$
answer attempt 1 out of 10

Explanation:

Step1: Find two numbers that multiply to 24 and add to 11.

We need two numbers \( m \) and \( n \) such that \( m \times n = 24 \) and \( m + n = 11 \). The numbers 3 and 8 work because \( 3 \times 8 = 24 \) and \( 3 + 8 = 11 \).

Step2: Factor the quadratic using these numbers.

The quadratic \( x^2 + 11x + 24 \) can be factored as \( (x + 3)(x + 8) \) since \( (x + m)(x + n)=x^2+(m + n)x+mn \).

Answer:

\( (x + 3)(x + 8) \)