Question

factor the polynomial.
all factors in your answer should have integer coefficients.
$625c^4 + 1080cd^3 = $

Explanation:

Step1: Identify common monomial factor

The polynomial is $625c^4 + 1080cd^3$. The greatest common factor of $625c^4$ and $1080cd^3$ is $c^3$.

Step2: Factor out the common factor

Divide each term by $c^3$: $625c^4 \div c^3 = 625c$, $1080cd^3 \div c^3 = 1080d$. So the factored form is $c^3(625c + 1080d)$.

Step3: Check for further factoring

$625c + 1080d$ has no common integer factors other than 1, so we stop.

Answer:

$c^3(625c + 1080d)$