if -2 and 3 are quadratic polynomial x²+(a+1)x+b,then
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at x = 3,
3² + (a+1) * 3 + b = 0
9 + 3a + 3 + b = 0
3a + b = - 12...........(i)
at x = -2,
-2² + (a+1) * -2 + b = 0
4 - 2a - 2 + b = 0
-2a + b = -2.........(ii)
solving (i) and (ii)-
5a = - 10
a = -2
b = -6
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