what value of k will x+1 be a factor of x^13-2x^7+3x+k?
do i have to divide it out? or is there an easier way?

Question

what value of k will x+1 be a factor of x^13-2x^7+3x+k?
do i have to divide it out? or is there an easier way?

anonymous · Answer

synthetic division maybe

anonymous · Answer

or actually no there is an easier way

dan815 · Answer

sub -1 and see wat k works

anonymous · Answer

if $x+1$ is a factor, then $-1$ is a zero
replace $x$ by $-1$ set the result equal to zero, solve for $k$

anonymous · Answer

what @dan815  said

anonymous · Answer

so um x^13-2x^7+3x+k=0
and x is -1 right!?

dan815 · Answer

hey i think u must understand what a factor really means

dan815 · Answer

basically for x+1 to be a factor it means
(x+1)*(something)= x^13-2x^7+3x+k

dan815 · Answer

so if x=-1 then (x+1) this bracket will be = 0
so the whole expression will be 0 and similarily the right side = 0

dan815 · Answer

so yes now you can say when -1 then x^13-2x^7+3x+k =0 and see which value for k works

anonymous · Answer

oh yeah alright! i understand now! thanks a lot!

dan815 · Answer

yep you are welcome! see you