Respuesta :

So,

[tex]3p^5 - 12p^3[/tex]

Factor.
[tex](3p^3)(p^2 - 4)[/tex]
[tex](3p^3)(p+2)(p-2)[/tex]

p + 2 is a factor.

The correct option is B.

answer : p+2

To answer the question above, identify first the greatest common factor for the numerical coefficients. That is 3. Next, determine the GCF for the variables p^5 and p³. Thus, factoring the given leads to,

                                 3p³ x (p² - 4)

The second factor is a difference of two squares. Further simplification of the expression leads to,

                                 3p³ x (p + 2) x (p - 2)

Thus, the answer is p + 2.