Question

One of the factors of 3p⁵ - 12p³ is?
1) p⁴
2) p²
3) p⁴
4) 4

Answer 1

The factor of the polynomial 3p⁵ - 12p³ is p², which is seen when the greatest common factor of 3p³ is factored out.

Step-by-step explanation:

The question asks which of the given options is a factor of the polynomial 3p⁵ - 12p³.

We can start by factoring out the greatest common factor (GCF) from the polynomial. The GCF of 3p⁵ and 12p³ is 3p³. When we factor this out, the polynomial becomes:

3p³(p² - 4)

Looking at the given options, we can see that p² is a factor of the polynomial since it is part of the factored form p² - 4. Therefore, the correct answer is option 2) p².