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If p − 1 is a factor of p^4 + p^2 + p − k, the value of k is _________.

Question

amoodarya · Answer

$$p^4 + p^2 + p − k=(p-1)Q(p)\$$
if you put p=1 into rhs,lhs
so 
you will find k

anonymous · Answer

what is rhs & lhs

amoodarya · Answer

left hand side =right hand side 
l h s               = r h s

anonymous · Answer

(p−1)Q(p) im confused with this equation. Im suppose to use synthetic division

anonymous · Answer

Do you know how to use synthetic division? It's sort of a shortcut.

amoodarya · Answer

it is easy 

it mean p^4 + p^2 + p − k dive to (p-1)

it means too , no remainder

anonymous · Answer

yes but for this equation i dont get what the value of k could be

anonymous · Answer

so the value is 1

anonymous · Answer

Wait how can you what? Is this an equation?

amoodarya · Answer

put p=1 
$$p^4 + p^2 + p − k=(p-1)Q(p)\ 1+1+1-k=0 Q(1)=0\so k= ?$$

anonymous · Answer

Ohm

anonymous · Answer

is it 4

amoodarya · Answer

1+1+1-k=0
k=?

anonymous · Answer

3

anonymous · Answer

Thank you so much