Which of the following expressions is this one equivalent to?

○a.

○b.

○c.

○d.

○C. x + 2

Step-by-step explanation:

x^4 + 2x^3 -x-2

x^3 -1

Factor the numerator by grouping.  Take an x^3 from the first 2 terms and -1 from the last 2 terms

x^3( x + 2) -1(x+2)

x^3 -1

now lets factor out the x+2

( x + 2)(x^3 -1)

x^3 -1

Canceling out the x^3-1, we are left with

x+2

C. x+2

Step-by-step explanation:

The given expressions are two polynomials which have to be divided in order to find the quotient. The long division method will be used to find the quotient of the two terms.

The long division is done and the picture is attached for detail.

From the picture, we can see that the correct answer is:

C. x+2 ..

pla·gia·rism

/ˈplājəˌrizəm/

learn to pronounce

noun

the practice of taking someone else's work or ideas and passing them off as one's own.

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)