Question : If $(x-2)(x-p) = x^2-ax+6$, then the value of $(a - p)$ is:
Option 1: 0
Option 2: 1
Option 3: 2
Option 4: 3
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Correct Answer: 2
Solution : Given: $(x-2)(x-p) = x^2-ax+6$ ⇒ $x^2-px-2x+2p=x^2-ax+6$ ⇒ $x^2-(p+2)x+2p=x^2-ax+6$ By comparing both sides of the equation, $p+2=a$ ⇒ $a-p=2$ Hence, the correct answer is 2.
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