By actual division find the quotient and the remainder when $(x^{4} + 1)$ is divided by $(x - 1) .$

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Solution

The division is as follows:

Hence,
Quotient = $x^{3} + x^{2} + x + 1$
Remainder = $2$

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By actual division, find the quotient and the remainder when $(x^{4} + 1)$ is divided by (x - 1).
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Question 13
By actual division, find the quotient and the remainder when the first polynomial $x^{4} + 1$ is divided by the polynomial (x - 1)

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By actual division, find the quotient and the remainder when the first polynomial is divided by the second polynomial: $x^{4} + 1; x - 1$

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