
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
December 12th, 2018, 02:29 PM  #1 
Newbie Joined: Dec 2018 From: New Zealand Posts: 1 Thanks: 0  Polynomial help please
Not sure where to start.

December 12th, 2018, 03:46 PM  #2 
Math Team Joined: May 2013 From: The Astral plane Posts: 2,205 Thanks: 901 Math Focus: Wibbly wobbly timeywimey stuff.  
December 12th, 2018, 06:58 PM  #3 
Global Moderator Joined: Dec 2006 Posts: 20,757 Thanks: 2138 
As $p(x)$ has no term in $x^3$, $p(x) = (x^2 + x + 2)(x^2  x + a/2)$. As it also has no term in $x$, $a/2  2 = 0$, and so $a = 4$. Hence $p(x) = (x^2 + x + 2)(x^2  x + 2)$. 
January 3rd, 2019, 06:52 PM  #4 
Newbie Joined: Jan 2019 From: Dayton Posts: 2 Thanks: 0 Math Focus: algebra, calculus, numerical methods  Do long division  you will get a remainder of a4. Given that x^2+x+2 is a factor, remainder does not exist. For it to not exist, a needs to be equal to 4. Check out the link.
Last edited by skipjack; January 3rd, 2019 at 08:03 PM. 

Tags 
polynomial 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Polynomial divisible by Polynomial  Nienna426  Number Theory  4  April 18th, 2015 08:14 PM 
Rewrite polynomial*2x as a sum of polynomial  king.oslo  Algebra  6  August 27th, 2013 06:11 AM 
Divide polynomial without using polynomial identity  condemath  Algebra  3  September 20th, 2011 08:34 PM 
Polynomial  token22  Real Analysis  3  May 19th, 2011 11:39 AM 
Looks like a polynomial....but it isn't  PythagorasKing  Algebra  4  March 26th, 2008 10:57 AM 