# What are the factors of x^2 + 2x + 1 ?

The give polynomial is ${x}^{2} + 2 x + 1$
$\implies {x}^{2} + x + x + 1$
$\implies x \left(x + 1\right) + 1 \left(x + 1\right)$
$\implies \left(x + 1\right) \left(x + 1\right) = {\left(x + 1\right)}^{2}$
It can also be solved by the standard identity, ${a}^{2} + 2 a b + {b}^{2} = {\left(a + b\right)}^{2}$, where, $a = x$ and $b = 1$