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

Question

asked Jan 7, 2017 82.4k views

2 Answers

Mohit Sehgal · Answer 1 · 2017-01-09T07:01:57+0000

Answer:

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

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

Fencer · Answer 2 · 2017-01-11T09:53:44+0000

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.