In the equation x^2+bâ€¢x+c=0, b and c are constants, and x is a variable. If m is a root of x^2+bâ€¢x+c=0, and (x+n) is a factor of x^2+bâ€¢x+c=0, then b=
Choose the correct choice from the following answers
A) m:n
B) m-n
C) m+n
D) n-m
E) m
the equation is x^2+bx+c=0..   this equation will have two roots...   it is given that m is a root ..   secondly (x+n) is a factor, which means -n is another root..   now we are asked what is b..   in x^2+bx+c=0, the sum of roots = -b/a...   here a=1, so sum of roots=-b..   roots are m and -n, so m+(-n)=-b..   m-n=-b, or b=n-m...   ANSWER n-m
<result>D</result>
In the equation x^2+bâ€¢x+c=0, b and c are constants, and x is a variable. If m is a root of x^2+bâ€¢x+c=0, and (x+n) is a factor of x^2+bâ€¢x+c=0, then b=