Rational Roots Theorem; synthetic division trying roots -1,-2,-5,1,2,5; maybe +10 or -10.
-1 | 1 -3 6 10
| -1 4 -10
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1 -4 10 0 -------- is a (real) root.
Now use quadratic equation skills to get the two other roots.
-----comes from the quotient of the previous synthetic division.
-----these are the two complex roots.
FINISHED.
Degree of equation is three; so only three roots.