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

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Answer 1 · 2018-03-12T07:22:19

The give polynomial is $x^2+2x+ 1$

$=>x^2+x+x+1$
$=> x(x+1) +1(x+1)$
$=>(x+1)(x+1) = (x+1)^2$

Alternatively,
It can also be solved by the standard identity, $a^2 +2ab +b^2 = (a+b)^2$ , where, $a = x$ and $b=1$

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