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khush khush
  • 03-06-2014
  • Mathematics
Answered

Find the remainder when 2x^4-6x^3+2x^2-x+2 is divided by x+2

Verified Answer :

leeners leeners
  • 03-06-2014

The answer to the problem would be 2x³-10x²+22x-45+92/(x+2)
So the remainder is 92.

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kate200468
kate200468 kate200468
  • 03-06-2014

\(P(x)=2x^4-6x^3+2x^2-x+2 \ \ \ and\ \ \ x_0=-2\\\\the\ remainder:\\\\R(x)= 2(-2)^4-6(-2)^3+2(-2)^2-(-2)+2=\\\\=2\cdot16-6\cdot(-8)+2\cdot4+2+2=32+48+8+4=92\)

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