Question

Algebra 2! please help!

What is the result of dividing x3−4 by x + 2?
x2−2x+4+4x+2
x2−2x+4+12x+2
x2−2x+4−12x+2
x2−2x+4−4x+2

Answer 1

Choice C)

x^2 - 2x + 4 - 12/(x+2)

`x^2 - 2x + 4 - (12)/(x+2)`

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Step-by-step explanation:

To see how I got that answer, I have provided two attached images below. One of them shows the polynomial long division. The other shows synthetic division. Both are valid options to get to the same answer.

For each method, I used 1x^3 + 0x^2 + 0x - 4 in place of x^3 - 4 so that the proper terms could align.