Generalization of this question x <mrow class="MJX-TeXAtom-ORD"> 2021

Nickolas Taylor

Nickolas Taylor

Answered question

2022-07-13

Generalization of this question
x 2021 x 3 + x 2 + x + 1

Answer & Explanation

Tamia Padilla

Tamia Padilla

Beginner2022-07-14Added 16 answers

As opposed to blindly using "eliminate the term", a simple explanation of why that works is just algebraic manipulation:
x 2021 = ( x 4 1 ) A ( x ) + x = ( x 3 + x 2 + x + 1 ) B ( x ) + x .   x 2023 = ( x 4 1 ) C ( x ) + x 3 = ( x 3 + x 2 + x + 1 ) D ( x ) + x 3 = ( x 3 + x 2 + x + 1 ) E ( x ) + ( x 2 x 1 ) .

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