Factor completely - 10u^6+26u^5-12u^4

-10u^6 + 26u^5 - 12u^4

first we find the GCF of - 10,26, and - 12 ... thats gonna be a - 2

now for the variables ... take the smallest exponent ... thats gonna be u^4

so we factor out - 2u^4

-10u^6 + 26u^5 - 12u^4

-2u^4 (5u^2 - 13u + 6) ... it can factor further

-2u^4 (u - 2) (5u - 3) <==