What must be subtracted from 3^5 − 2^4 + ^2 − 2 such that the result is exactly divisible by x^2 + + 1.
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Answer:
We divide 4x 4 −2x 3 −6x2 +x−5 by 2x 2 +x−1 as shown in the below:
From the division, we observe that the quotient is 2x
2
−2x−1 and the remainder is −6.
Hence, −6 should be subtracted from 4x
4
−2x
3
−6x
2
+x−5 so that result is exactly divisible by 2x
2
+x−1.
Step-by-step explanation:
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