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

Here's how you can factorize it:

1. First, recognize that the polynomial is a perfect square trinomial. This is a special form of trinomial that can be written as (a - b)^2 or (a + b)^2.

2. In this case, the polynomial can be written as (sqrt(2p^2) - sqrt(25q^2))^2, which simplifies to (2p - 5q)^2.

3. Therefore, the factorization of the polynomial is (2p - 5q)(2p - 5q), which can also be written as (2p - 5q)^2.

So, the correct answer is A. (2p - 5q)(p - 5q).

Question

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

Here's how you can factorize it:

1. First, recognize that the polynomial is a perfect square trinomial. This is a special form of trinomial that can be written as (a - b)^2 or (a + b)^2.

2. In this case, the polynomial can be written as (sqrt(2p^2) - sqrt(25q^2))^2, which simplifies to (2p - 5q)^2.

3. Therefore, the factorization of the polynomial is (2p - 5q)(2p - 5q), which can also be written as (2p - 5q)^2.

So, the correct answer is A. (2p - 5q)(p - 5q).

Knowee AI · Accepted Answer

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

Here's how you can factorize it:

1. First, recognize that the polynomial is a perfect square trinomial. This is a special form of trinomial that can be written as (a - b)^2 or (a + b)^2.

2. In this case, the polynomial can be written as (sqrt(2p^2) - sqrt(25q^2))^2, which simplifies to (2p - 5q)^2.

3. Therefore, the factorization of the polynomial is (2p - 5q)(2p - 5q), which can also be written as (2p - 5q)^2.

So, the correct answer is A. (2p - 5q)(p - 5q).

Which of the following is the correct factorization of the polynomial below?2p2 - 10pq + 25q2A.(2p - 5q)(p - 5q)B.(2p - 5q)(p + 5q)C.(2p - 5q)(2p2 + 2q)D.The polynomial is irreducible.SUBMITarrow_backPREVIOUS

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