Question

Which of the following expressions is this one equivalent to?

(x^4-2x^3+x-2)÷(x^3+1)

A.) x^2-x+1
B.) x^2+3x+2
C.) x^2+1
D.) x-2

Answer 1

Hello from MrBillDoesMath!

Answer:

Choice D, x-2

Discussion:

Observe the the highest order term in the numerator is x^4 and the highest order term in the denominator is x^3. So the highest order term in their quotient is x^4/x^3 = x. Choice D is the only possible answer as all other choices start with x^2

Regards,

MrB