SOLUTION: If x+a is a factor of the polynomial x2+px+q, x2+mx+n. Prove that a= n-q/m-p.
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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) (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.
 = n - q \Rightarrow a = \frac{n-q}{m-p})
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