Answer
$(3y-5)(y^4+2)$
Work Step by Step
Using factoring by grouping, then,
\begin{array}{l}
3y^5-5y^4+6y-10
\\=
(3y^5-5y^4)+(6y-10)
\\=
y^4(3y-5)+2(3y-5)
\\=
(3y-5)(y^4+2)
.\end{array}
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