what must be subtracted from x^3-6x^2-15x+80, so that the result is exactly divisible by x^2+x-12
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first divide x³-6x²-15x+80 byx²+x-12 .
you will some remainder but not zero.
now add the remainder to x³ polynomial .
now the resulting polynomial is exactly divisible by x² polynomial
you will some remainder but not zero.
now add the remainder to x³ polynomial .
now the resulting polynomial is exactly divisible by x² polynomial
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