Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
5p^3+15p^2

Answer 1

To factor out the greatest common factor (GCF) from the polynomial \(5p^3 + 15p^2\), we first identify the GCF of the coefficients and the variable terms.

1. The coefficients are 5 and 15. The GCF of these numbers is 5.
2. For the variable terms, we have \(p^3\) and \(p^2\). The GCF of \(p^3\) and \(p^2\) is \(p^2\).

Now we can factor out the GCF of \(5p^2\):

\[
5p^3 + 15p^2 = 5p^2(p + 3)
\]

So, the factored form of the polynomial is:

\[
5p^2(p + 3)
\]