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Factor polynomial $$ x^{6}-2x^{5}-x^{4}+2x^{3}+x^{2} $$
Answer
$$ x^{6}-2x^{5}-x^{4}+2x^{3}+x^{2} = x^{2}( x^{4}-2x^{3}-x^{2}+2x+1 ) $$
Explanation
After factoring out $ x^{2} $ we have:
$$ x^{6}-2x^{5}-x^{4}+2x^{3}+x^{2} = x^{2} ( x^{4}-2x^{3}-x^{2}+2x+1 ) $$