One of the factors of p⁵ - 144p³ is
p³, p + 12, p - 12, All of the above

Solution:

The given expression can be written as

p⁵ - 144p³ = p³(p² - 144)

From the algebraic identity,

a² - b² = (a + b)(a - b)

Here we know that

a = p and b = 12

We can write the factors as

p⁵ - 144p³ = p³(p + 12)(p - 12)

Therefore, the factors of p⁵ - 144p³ is p³(p + 12)(p - 12) which denotes all of the above factors.

One of the factors of p⁵ - 144p³ is

Summary:

One of the factors of p⁵ - 144p³ is p³(p + 12)(p - 12).