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

Answers (1)

p(x)=3x2-2mx+2n
now 2 and -3 are zreos of p(x)
so
p(2)=0
Or, 12-4m+2n=0..........................1
p(-3)=0
Or, 27-6m+2n=0.......................2
comparing both eq.
2m=15
so m=15/2
similarly 
n=27/4

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