Question

1. the area of a boxs lid is $x^2 + 12x + 35$. if one of the sides is $x+5$, what is the other side?

$x+8$
$x+6$
$x+7$
$x+12$

Explanation:

Step1: Factor the quadratic expression

We need two numbers that multiply to $35$ and add to $12$. These numbers are $5$ and $7$.
$$x^2 + 12x + 35 = (x+5)(x+7)$$

Step2: Identify the other side

Assuming one side is $x+5$ (the implied missing factor), the other side is the remaining binomial.

Answer:

C. $x+7$