Question

A polynomial expression of degree three is shown below.
8x^3 + 125 Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x + 10x + 25)
B (2x + 5)(4x + 10x-25)
C (2x + 5)(4x - 10x +25)
D (4x + 25)(2x - 10x+5)

Answer 1

Answer:

b

Step-by-step explanation:

Answer 2

The expression that represents the correct factorization of the polynomial 8x³  +  125 is (2x + 5) (4x²  -  10x  +  25)

The given polynomial expression is:

8x³  +  125

The expression 8x³  +  125 can be rewritten as (2x)³ + 5³

Applying the sum of cubes formula

$x^3+y^3=(x+y)(x^2-xy+y^2)$

(2x)³ + 5³  =  (2x  + 5)( ((2x)² - 2x(5) + 5²)

8x³  +  125 = (2x + 5) (4x²  -  10x  +  25)

Therefore, the expression that represents the correct factorization of the polynomial 8x³  +  125 is (2x + 5) (4x²  -  10x  +  25)

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