SOLUTION: If x+a is a factor of the polynomial x2+px+q, x2+mx+n. Prove that a= n-q/m-p.

Algebra ->  Real-numbers -> SOLUTION: If x+a is a factor of the polynomial x2+px+q, x2+mx+n. Prove that a= n-q/m-p.      Log On


   

Question 618981: If x+a is a factor of the polynomial x2+px+q, x2+mx+n. Prove that a= n-q/m-p.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
"x+a is a factor" implies that -a is a root of the polynomial, i.e.



Cancel the a^2 and we are left with

, isolate terms with "a" in it and factor.