Question

x² - 16x + 48

Explanation:

Step1: Find two factors of 48

We need two numbers that multiply to $48$ and add to $-16$. These numbers are $-4$ and $-12$, since $(-4)\times(-12)=48$ and $(-4)+(-12)=-16$.

Step2: Factor the quadratic expression

Rewrite the quadratic using the two factors:
$x^2 -16x +48=(x-4)(x-12)$

Answer:

$(x-4)(x-12)$