SOLUTION: is x-1 a factor of (x^567-3x^400+x^9+2) need to show all work

Question 358114: is x-1 a factor of (x^567-3x^400+x^9+2) need to show all work
Found 2 solutions by solver91311, Alan3354:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Therefore no, is not a factor of

John

My calculator said it, I believe it, that settles it

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
is x-1 a factor of (x^567-3x^400+x^9+2)
---------
If it's a factor, then subbing +1 for x will make the polynomial zero.
1^567 - 3*1^400 + 1^9 + 2 = 1 - 3 + 1 + 2
= 1, not zero.
--> not a factor.
RELATED QUESTIONS
Hello! Is x - 1 a factor of x^567 - 3x^400 + x^9 + 2 ? How would I know if it is or... (answered by Alan3354)
this is miscellaneous i do not know what to categorize these problems at sorry. 1.... (answered by stanbon)
Is x^2-3x+1 a factor of 2x^3-5x^2+1? Show work to support your answer. Please... (answered by richwmiller)
I need to determine if the given x-value is a zero of the function - show work... (answered by Nate)
Show that x-1 either is or is not a factor of P(x) = 2x^4 +3x^3 - 12x^2 -7x +6. Could... (answered by Alan3354)
Show that (x-1) (x+1) is a factor of... (answered by MathLover1,ikleyn)
Factor completely. Show all work neccessary. x^2 - 14x +... (answered by jim_thompson5910)
Factor completely. Show all work necessary. x^2 + 24x + 144 (answered by checkley77)
Factor completely. Show all work necessary. x^2 - 5x - 24 (answered by Fombitz)