P(x) = x2 + 3Qx – 2Q∵ (x – 2) is a factor of P(x).∴ P(2) = 0⇒ (2)2 + 3Q × 2 – 2Q = 0⇒ 4 + 6Q – 2Q = 0⇒ 4Q + 4 = 0⇒ 4Q = – 4 ⇒ Q = –1
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