anonymous
  • anonymous
i'll fan & MEDAL!!!! If p − 1 is a factor of p^4 + p^2 + p − k, the value of k is _________.
Mathematics
schrodinger
  • schrodinger
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amoodarya
  • amoodarya
\[p^4 + p^2 + p − k=(p-1)Q(p)\\\] if you put p=1 into rhs,lhs so you will find k
anonymous
  • anonymous
what is rhs & lhs
amoodarya
  • amoodarya
left hand side =right hand side l h s = r h s

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anonymous
  • anonymous
(p−1)Q(p) im confused with this equation. Im suppose to use synthetic division
anonymous
  • anonymous
Do you know how to use synthetic division? It's sort of a shortcut.
amoodarya
  • amoodarya
it is easy it mean p^4 + p^2 + p − k dive to (p-1) it means too , no remainder
anonymous
  • anonymous
yes but for this equation i dont get what the value of k could be
anonymous
  • anonymous
so the value is 1
anonymous
  • anonymous
Wait how can you what? Is this an equation?
amoodarya
  • amoodarya
put p=1 \[p^4 + p^2 + p − k=(p-1)Q(p)\\ 1+1+1-k=0 Q(1)=0\\so k= ?\]
anonymous
  • anonymous
Ohm
anonymous
  • anonymous
is it 4
amoodarya
  • amoodarya
1+1+1-k=0 k=?
anonymous
  • anonymous
3
anonymous
  • anonymous
Thank you so much

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