Question

find the value of m and n for which x=2 and -3 are the zeros of the polynomial 3x^2-2mx+2n

Answer 1

p(x)=3x^2-2mx+2n
now 
2 and -3 are zreos of p(x)
so
p(2)=0
12-4m+2n=0....................................................1
p(-3)=0
27-6m+2n=0..........................................................2
comparing both eq.
2m=15
so       m=15/2
similarly 
n=27/4