Question

Find the remainder obtained on dividing
$p(x) = {x}^{4} + 1 by (x + 1)$
By long division.
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Answer 1

Step-by-step explanation:

$x + 1) \: x {}^{4} \: ( \: x {}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: x {}^{4} + x {}^{3} \\ \: \: \: \: \: \: \: \: \: \: - \: \: \: \: \: \: \: - \\ --------------- \\ = = > 0 \: \: \: - x {}^{3} \\ = = > \: \: - x {}^{3}$

REMAINDER OBTAINED ==>

$= = = = = = = = = = = = = > \: \: \: - x {}^{3}$

PRECAUTION NEED TO BE TAKEN WHILE SOLVING THESE PROBLEMS TO AVOID ERRORS:---

a) THE FIRST AND MAJOR PROBLEM WHICH ARE CAUSED ARE LANGUAGE PROBLEM IN THIS QUESTION . YOU NEED TO TAKE CARE OF THE LANGUAGE USED BY WHOM WHICH NUMBER IS DIVIDED.

b) PRECISE CALCULATION IS MUST TO AVOID ERRORS.

c) YOU NEED TO TAKE CARE OF MINUS AND PLUS WHILE DIVIDING ONE NUMBER FROM ANOTHER