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Question is- What must be subtracted from 4x⁴-2x³-6x²+x-5 so that the result is exactly divisible by 2x²+3x-2 ?
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Question is- What must be subtracted from 4x⁴-2x³-6x²+x-5 so that the result is exactly divisible by 2x²+3x-2 ?
Ans:- 2x²+x-1
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Answer:
= 4x⁴-2x³-6x²+x-5 - x = 2x²+3x-2
= 2x²+3x-2 + (-4x⁴-2x³-6x²+x-5)
= (2x^2- 6x^2) ( 3x +x) ( -2 -5) -4x^2
= -4x^2 + 4x -7- 4x^2
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