anonymous
  • anonymous
using remainder theorem & synthetic division find p(r): P(x)=2x^4-3x^3+6, r=2
Mathematics
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jamiebookeater
  • jamiebookeater
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yuki
  • yuki
usually to find P(r) you need to plug in P(r)
amistre64
  • amistre64
make sure you use 0s as space holders
amistre64
  • amistre64
^4 3 2 1 0 ------------ like this 2 -3 0 0 6

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yuki
  • yuki
the remainder theorem says, if you divide P(x) by x-r the remainder becomes P(r)
yuki
  • yuki
so all you do is synthetic division to find the remainder
amistre64
  • amistre64
2| 2 -3 0 0 6 0 4 2 4 8 --------------- 2 1 2 4 14 <- remainder is 14 ^^^^^^^^^^^ 2r^3 +r^2 +2r +4 + 14(r-2)

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