P = 4 and Q = 2
P = 2 and Q = 4
P = 4 and Q = -2
P = -2 and Q = 4
Correct answer is C
2x(x+6)(x+3)=Px+6+Qx+3
2x(x+6)(x+3)=P(x+3)+Q(x+6)(x+6)(x+3)
Comparing equations, we have
2x=Px+3P+Qx+6Q
⟹3P+6Q=0...(1);P+Q=2....(2)
From equation (1), 3P=−6Q⟹P=−2Q
\therefore -2Q + Q = -Q = 2
Q = -2
P = -2Q = -2(-2) = 4
P = 4, Q = -2
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