Answer
$(a + 8)(a + 3)$
Work Step by Step
We have a quadratic equation in the form of $ax^2 + bx + c$, where $a$, $b$, and $c$ are all real numbers.
To factor this equation, we want to find which factors when multiplied will give us the product of the $a$ and $c$ terms, which is $24$, but when added together will give us the $b$ term, which is $11$. This means that the two factors must both be positive.
Let's look at possible factors:
$8$ and $3$
$6$ and $4$
$24$ and $1$
It looks like the first combination will work. Let's rewrite the expression in factored form:
$(a + 8)(a + 3)$
