How do you factor the expression $3x^3+3x^2+x+1$ ?

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Answer 1 · 2016-03-08T15:54:36

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

Factor by grouping--split into two groups of two.

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

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

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

This is completely factored, if we refrain from using complex numbers.

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