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

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Answer 1 · 2015-05-10T21:36:00

Collect #x^3# between the first and second term and #1# between the third and fourth:
#x^3(2x+1)+1(2x+1)=#
Collect #(2x+1)#
#=(2x+1)(x^3+1)#