-(1/5)x^5+25x^4+5x-25 factor

Factor -(1/5)x^5+25x^4+5x-25
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1 Answer

-⅕x5+25x4+5x-25=⅕(-x5+125x4+25x-125) doesn't factorise rationally.

However, ⅕(-x5+125x4+25x-125)=⅕(x4(125-x)+25(x-5))=⅕(x4(5-∛x)(25+5∛x+x⅔)-25(5-x)).

Also, ⅕(-x5+125x4+25x-125)=⅕(x(25-x4)+125(x4-1))=⅕(x(5-x2)(5+x2)-125(1-x)(1+x)(1+x2)).

by Top Rated User (1.2m points)

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