Question

Melody is factoring the expression x^3 - 2x^2 + 4x - 8. Her first two steps are shown.

x^3 - 2x^2 + 4x - 8 = x^2(x - 2) + 4(x - 2)
= (x^2 + 4)(x - 2)

What should Melody do next to finish factoring the expression?

A. Melody has completely factored the expression.

B. Melody should rewrite (x^2 + 4) as (x - 2)^2

C. Melody should rewrite (x^2 + 4) as (x - 2)(x + 2)

D. Melody should rewrite (x^2 + 4) as (x + 2)^2

Answer 1

Answer:

A, melody completed factoring

Step-by-step explanation:

Answer 2

Melody has completely factored the expression which is correct option(A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given the expression,

⇒ x³ - 2x² + 4x - 8

⇒ x²(x - 2) + 4(x - 2)

⇒ (x² + 4)(x - 2)

So, factors of given expression are (x² + 4)  and (x - 2).

Hence, Melody has completely factored the expression.

Learn more about expression here:

https://brainly.com/question/13947055

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