Question

what must be subtracted from 8 x power 4 + 14 x cube minus 2 X square + 7 x minus 8 so that the resulting polynomial is exactly divisible by 4 x square + 3 x minus 2​

Answer 1

Solution in the attachment; hope it helped.

Answer 2

Given :P(x) = $8x^4+14x^3-2x^2+7x-8$

g(x) = 4x²+3x-2

Solution :

on dividing we get

quotient = 2x²+2x-1

remainder = 14x-10

so , 14x-10 must be subtracted from the p(x)

so that the resulting polynomial is exactly divisible by g(x)

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