Answer
$-7c^2-14c+1.$
Work Step by Step
We divide each term of the polynomial by the monomial as follows
$$
(14c^3 - 28c^2 - 2c) \div (-2c)=\frac{14c^3 - 28c^2 - 2c}{-2c}\\
=\frac{14c^3 }{-2c}+\frac{ 28c^2 }{-2c}+\frac{ - 2c}{-2c}\\
=-7c^2-14c+1.
$$
