Question

factor.\\(x^2 + 12x + 20\\)

Explanation:

Step1: Find two terms for splitting

We need two numbers that multiply to $20$ and add to $12$. These numbers are $10$ and $2$.
$x^2 + 10x + 2x + 20$

Step2: Group and factor pairs

Group the first two and last two terms, then factor out GCFs.
$(x^2 + 10x) + (2x + 20) = x(x + 10) + 2(x + 10)$

Step3: Factor out common binomial

Extract the shared binomial factor $(x+10)$.
$(x + 10)(x + 2)$

Answer:

$(x + 10)(x + 2)$