If (x – 2) (x – p) = x2 – ax + 6, then the value of

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If (x – 2) (x – p) = x² – ax + 6, then the value of (a – p) is

1. 0
2. 1
3. 2
4. 3

Correct Option: C

(x – 2) (x – p) = x² – ax + 6
⇒ x (x – p) –2 (x – p)
= x² – ax + 6
⇒ x² – px – 2x + 2p = x² – ax + 6
⇒ x² – x (p + 2) + 2p
= x² – ax + 6
∴ p + 2 = a
(comparing respective co-efficients)
⇒ a – p = 2