Factor polynomial $$ -x^{5}+1 $$
Answer
$$ -x^{5}+1 = ( -x+1 )( x^{4}+x^{3}+x^{2}+x+1 ) $$
Explanation
To factor $ -x^{5}+1 $ we can use formula:
$$ I^5 - II^5 = (I - II)(I^4 + I^3 \cdot II + I^2 \cdot II^2 + I \cdot II^3 + II^4) $$After putting $ I = 1 $ and $ II = x $ , we have:
$$ -x^{5}+1 = ( -x+1 ) ( x^{4}+x^{3}+x^{2}+x+1 ) $$This page was created using
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