Question

What is the correct factorization of the polynomial below?

2p^2 - 10pq + 25q^2

A. 2p - 5q^2
B. 2p^2 - 10pq + 25q^2
C. p - 5q^2
D. p + 5q^2

Answer 1

The correct factorization of the polynomial 2p^2 - 10pq + 25q^2 is (2p - 5q)(p - 5q).

Step-by-step explanation:

The correct factorization of the polynomial 2p^2 - 10pq + 25q^2 is (2p - 5q)(p - 5q).

To factorize the given polynomial, we look for common factors and then use the distributive property.

1. First, we look for the greatest common factor (GCF) among the terms. In this case, the GCF is 2.
2. We divide each term by the GCF and factor it out.
3. So, the factorization becomes (2p - 5q)(p - 5q).