The correct factorization of the polynomial x^3 + 10x^2 + 25x is B. x(x + 5)^2.

Here's the step-by-step process:

1. First, we can factor out the common factor x from each term in the polynomial. This gives us x(x^2 + 10x + 25).

2. Then, we can recognize that the expression inside the parentheses is a perfect square trinomial, which can be factored as (x + 5)^2.

3. So, the factorization of the polynomial x^3 + 10x^2 + 25x is x(x + 5)^2.

Question

The correct factorization of the polynomial x^3 + 10x^2 + 25x is B. x(x + 5)^2.

Here's the step-by-step process:

1. First, we can factor out the common factor x from each term in the polynomial. This gives us x(x^2 + 10x + 25).

2. Then, we can recognize that the expression inside the parentheses is a perfect square trinomial, which can be factored as (x + 5)^2.

3. So, the factorization of the polynomial x^3 + 10x^2 + 25x is x(x + 5)^2.

Knowee AI · Accepted Answer

The correct factorization of the polynomial x^3 + 10x^2 + 25x is B. x(x + 5)^2.

Here's the step-by-step process:

1. First, we can factor out the common factor x from each term in the polynomial. This gives us x(x^2 + 10x + 25).

2. Then, we can recognize that the expression inside the parentheses is a perfect square trinomial, which can be factored as (x + 5)^2.

3. So, the factorization of the polynomial x^3 + 10x^2 + 25x is x(x + 5)^2.

Which of the following is the correct factorization of the polynomial below?x3 + 10x2 + 25xA.(x2 + 5x - 2)(x - 10)B.x(x + 5)2C.(x2 + 2x - 5)(x - 10)D.x(x + 5)(x - 5)