Concept:Substitute the given expressions for P and Q into the equation Q−P=2, then solve the resulting quadratic equation.Explanation:Given P=x2+4x−2 and Q=2x−1.Since Q−P=2, we substitute: (2x−1)−(x2+4x−2)=2Expand the brackets: 2x−1−x2−4x+2=2Combine like terms: −x2−2x+1=2Bring all terms to one side: −x2−2x+1−2=0So: −x2−2x−1=0Multiply both sides by −1: x2+2x+1=0Factor the perfect square: (x+1)(x+1)=0Therefore: x+1=0x=−1Answer:x=−1, which is option B.