How do you factor $3x^2+6x+x+2$ ?

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Answer 1 · 2017-04-26T11:04:26

$(x+2)(3x+1)$

Your immediate question should be: why have they chosen this format for the question?

Notice that they split the terms. So does this imply a repeat of some form?

Notice that for $3x^2+6x->3x(x+2)$ and the $x+2$ is the right hand split part. So we write:

$3x^2+6x+x+2" "->" "(3x^2+6x)+(x+2)$
$" "3x(x+2)color(white)(..)+1(x+2)$

Factor out the $(x+2)$ giving

$" "(x+2)(3x+1)$

How do you factor 3x^2+6x+x+23x^2+6x+x+2?