Question

Find the quotient and remainder. Please select the vest abswer from the answer choices

Answer 1

Quotient = x^4 + x^3 + x^2 + x + 1

Remainder = 0

Explanation:

(x^5 +1) is divided by (x - 1) as shown below:

(x^5 +1) / (x - 1)

where x^5 is divided by (x - 1) when multiplied by x^4 (quotient) to give x^4 - 1.

Now x^4 - 1 is divided by is divided by (x - 1) when multiplied by x^3 (quotient) to give x^3 - 1.

Then again x^3 - 1 is divided by (x - 1) when multiplied with x^2 (quotient) to give x^2 -1.

x^2 - 1 is divided by (x - 1) when multiplied by x to give (x - 1).

Lastly, (x - 1) is divided by (x - 1) when multiplied by 1 to cancel the terms with remainder 0.