What is the remainder when (x4 36) is divided by (x2 - 8) ? 36 64 100 117

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Mathematics

Lyric Cannon

13 April, 03:44

What is the remainder when (x4 36) is divided by (x2 - 8) ? 36 64 100 117

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Paxton Mcfarland · Answer 1

Let A, B, Q and R are four numbers, if we have A = BQ + R, it does mean that B divides A, or A is a multiple of B. Q is the quotient and R is called remainder of the division of A by B. so After doing the euclidean division, we found found Q = x² + 8, and x4+36 = (x²-8) (x2+8) + 100, so the remainder is 100.