Question

Which of the following is the correct factorization of the polynomial below?

p²-125
OA (- 5q)(p + 5pq+ 25)
O B. (-259)(p? + 25pq + 25¢)
O C. (p+ 10g)(p² + 25pq + 5
D. The polynomial is irreducible.

Answer 1

D but see below.

Explanation:

It can be factored if you are allowed to use square roots.

(p + 5√5)(p - 5√5)

Usually, you are not allowed to do that. Usually you must be working with whole numbers or rational well behaved fractions.

I think, given the above comment, the answer is D