Factor the polynomial.

54c^3d^4+9c^4d^2

To factor the polynomial 54c^3d^4 + 9c^4d^2, we can first look for the greatest common factor (GCF) between the terms.

The GCF of 54 and 9 is 9.
The GCF of c^3 and c^4 is c^3.
The GCF of d^4 and d^2 is d^2.

Factoring out the GCF, we get:
9c^3d^2(6d^2 + c)

Therefore, the polynomial can be factored as:
9c^3d^2(6d^2 + c)