One of the factors of 3p^5 + 12p^3 is?

To find one of the factors of the expression 3p⁵ + 12p³, we start by factoring out the greatest common factor (GCF) of the terms.

The two terms in the expression are 3p⁵ and 12p³. The GCF can be determined by looking at the coefficients and the variable parts separately.

• The GCF of the coefficients (3 and 12) is 3.
• The GCF of the variable parts (p⁵ and p³) is p³.

Combining these, the GCF of the entire expression is 3p³.

Now we can factor this out from the original expression:

3p³(p² + 4).

Thus, one of the factors of the expression 3p⁵ + 12p³ is 3p³.