Hello guys, i've got this report i have to do and would really need your help.. This will propably be a piece of cake for you guys. Here it is:
Which value for the constant a is the polynom Q(x)=2ax^3-x+a^2 divideable with
a) x+1 b)2x+1
Factor theorem - Wikipedia, the free encyclopedia
The factor theorem says that is a factor of only if
As the question says find the value of for which is a factor of this means the factor theorem is applied and so
This means we find the value of Q(-1) by substituting wherever is seen and setting to
This simplifies to which in turn simplifies to and hence it's clear that a = 1