If \( f(x)=(x+2)^{7}(x+4)^{p}, g(x)=(x+2)^{q}(x+4)^{9} \) and the LCM of \( f(x) \) and \( g(x) ... VIDEO
If \( f(x)=(x+2)^{7}(x+4)^{p}, g(x)=(x+2)^{q}(x+4)^{9} \) and the LCM of \( f(x) \) and \( g(x) \) is \( (x+2)^{q}(x+4)^{9} \), then find the maximum value of \( p-q \).
(a) 4
(b) 3
(c) 2
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