Question

question
factor.
$x^2 + 12x + 35$

Explanation:

Step1: Find two numbers

Find two numbers that multiply to 35 and add up to 12. The numbers are 5 and 7 since \(5\times7 = 35\) and \(5 + 7=12\).

Step2: Factor the quadratic

Using the formula \(x^{2}+bx + c=(x + m)(x + n)\) where \(m\) and \(n\) are the two numbers found, we get \(x^{2}+12x + 35=(x + 5)(x + 7)\).

Answer:

\((x + 5)(x + 7)\)