The correct factorization of the given polynomial 64x^3 + 125 is A.(4x + 5)(16x^2 - 20x + 25).

Here's how you can factorize it:

The given polynomial is a sum of cubes. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In the given polynomial 64x^3 + 125, you can rewrite it as (4x)^3 + 5^3.

So, a = 4x and b = 5.

Substitute a and b into the sum of cubes formula, you get (4x + 5)((4x)^2 - 4x*5 + 5^2) = (4x + 5)(16x^2 - 20x + 25).

So, the correct answer is B.(4x + 5)(16x^2 - 20x + 25).

Question

The correct factorization of the given polynomial 64x^3 + 125 is A.(4x + 5)(16x^2 - 20x + 25).

Here's how you can factorize it:

The given polynomial is a sum of cubes. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In the given polynomial 64x^3 + 125, you can rewrite it as (4x)^3 + 5^3.

So, a = 4x and b = 5.

Substitute a and b into the sum of cubes formula, you get (4x + 5)((4x)^2 - 4x*5 + 5^2) = (4x + 5)(16x^2 - 20x + 25).

So, the correct answer is B.(4x + 5)(16x^2 - 20x + 25).

Knowee AI · Accepted Answer

The correct factorization of the given polynomial 64x^3 + 125 is A.(4x + 5)(16x^2 - 20x + 25).

Here's how you can factorize it:

The given polynomial is a sum of cubes. The sum of cubes formula is a^3 + b^3 = (a + b)(a^2 - ab + b^2).

In the given polynomial 64x^3 + 125, you can rewrite it as (4x)^3 + 5^3.

So, a = 4x and b = 5.

Substitute a and b into the sum of cubes formula, you get (4x + 5)((4x)^2 - 4x*5 + 5^2) = (4x + 5)(16x^2 - 20x + 25).

So, the correct answer is B.(4x + 5)(16x^2 - 20x + 25).

Which of the following is the correct factorization of the polynomial below?64x3 + 125A.(4x + 5)(16x2 - 12x + 5)B.(4x + 5)(16x2 - 20x + 25)C.(16x2 + 5)(5x - 16x + 125)D.The polynomial is irreducible.