Question

One of the factors of p5 - 144p3 is

p3

p + 12

p - 12

All of the above

Answer 1

`\text{The factors of }p^5-144p^3\text{ are }p^3, (p-12), (p+12)`

The correct option is D i.e all of the above

Explanation:

Given the expression

`p^5-144p^3`

we have to find the factors of above expression.

Expression:
`p^5-144p^3`

`\text{Taking }p^3\text{ common, we get}`

`p^3(p^2-144)`

`p^3(p^2-12^2)`

`a^2-b^2=(a-b)(a+b)`

`p^3(p^2-12^2)=p^3(p-12)(p+12)`

`\text{Hence, the factors of }p^5-144p^3\text{ are }p^3, (p-12), (p+12)`

Therefore, the correct option is D i.e all of the above

Answer 2

p^5 - 144p^3 = p^3(p^2 - 144) = p^3(p - 12)(p + 12)

Therefore, all are factors of p^5 - 144p^3.
The correct answer is all of the above.