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We divide 4x4−2x3−6x2+x−5 by 2x2+x−1 as shown in the below image:
From the division, we observe that the quotient is 2x2−2x−1 and the remainder is −6.
Hence, −6 should be subtracted from 4x4−2x3−6x2+x−5 so that result is exactly divisible by 2x2+x−1.
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Answer:
The answer for the sum is 2x2+x-1
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