Answer
$-3c^7+8c^3+c$
$seventh$ $degree$ $trinomial$
Work Step by Step
This is our original problem:
$c+8c^3-3c^7$
We need to put the polynomial in standard form by ordering from highest degree, to lowest.
$-3c^7+8c^3+c$
Now we need to name the polynomial.
It is a trinomial because it has three terms. Since its highest degree is seven, it is a $seventh$ $degree$ $trinomial$.