Question

What must be subtracted from 34α - 22α³ - 12α^4 - 10α² - 75 so that the resulting polynomial is exactly divisible by -4α³ + 2α² - 8α + 30?

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Answer 1

Answer:

To get the polynomial that is exactly divisible by g ( x )=3x+2 we have to divide f ( x )= 3x-2x+3x-2x+3 by g( x )

and get the remainder.

Hence, 185\25 should be subtracted from

3x-2x+3x-2x+3 that the resulting polynomial is exactly divisible by 3x+2.