# How do you factor 2x^4+x^3+2x+1?

Collect ${x}^{3}$ between the first and second term and $1$ between the third and fourth:
${x}^{3} \left(2 x + 1\right) + 1 \left(2 x + 1\right) =$
Collect $\left(2 x + 1\right)$
$= \left(2 x + 1\right) \left({x}^{3} + 1\right)$