aaronscott7137 aaronscott7137
  • 04-05-2018
  • Mathematics
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Whst is the remainder when f(x)=x^3+3x^2-10x-4 is diveded by x-3

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mathmate
mathmate mathmate
  • 04-05-2018
The polynomial remainder theorem allows us to calculate the remainder when a polynomial is divided by a linear polynomial:
The remainder of f(x) divided by (x-k) equals f(k).

Thus
f(x)=x^3+3x^2-10x-4 divided by x-3
gives a remainder of
f(3)=27+3(9)-10(3)-4=27+27-30-4=20
Therefore the remainder required is 20.
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