Question

i'll fan & MEDAL!!!!
If p − 1 is a factor of p^4 + p^2 + p − k, the value of k is _________.

Answer 1

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

Answer 2

what is rhs & lhs

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

it is easy

it mean p^4 + p^2 + p − k dive to (p-1)

it means too , no remainder

Answer 7

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

Answer 8

so the value is 1

Answer 9

Wait how can you what? Is this an equation?

Answer 10

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

Answer 11

Ohm

Answer 12

is it 4

Answer 13

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

Answer 14

3

Answer 15

Thank you so much