



 
Hi Nazrul, We have two responses for you:
If x+a is a common factor ("highest" is meaningless here) of x^{2}+px+q and x^{2}+mx+n, then there exist b,c such that (x+a)(x+b) = x^{2}+px+q Good Hunting!
The Remainder Theorem states if x+a is a factor of f(x)= x^{2}+px+q then f(a) = (a)^{2}+p(a)+q = 0 Hope this hint helps, Janice
 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 