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Let p(x) = x³+ax+b
Since, (x+3) and (x+2) are factors of p(x)
-3 and -2 are zeroes of p(x)
p(-3) = -27-3a+b = 0
-3a+b = 27
b = 27-3a --------(1)
p(-2) = -8-2a+b = 0
-2a+b = 8 -------(2)
Substituting (1) in (2)
-2a+27-3a = 8
-5a = 8-27 = -19
a = 19/5
b = 27-3×19/5 = (135-57)/5
b = 78/5
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