यदि (x – 3), k2x2 – kx – 2 का एक गुणनखण्ड है तो x – 3 = 0 या x = 3 रखने पर
शेषफल = 0
k2. (3)2 – k. 3 – 2 = 0
9k2 – 3k – 2 = 0
9k2 –(6 – 3)k – 2 = 0
9k2 – 6k + 3k – 2 = 0
3k(3k – 2) + 1(k – 2) = 0
(3k – 2)(3k + 1) = 0
यदि 3k – 2 = 0 ∴ k = 2/3
यदि 3k + 1 = 0 ∴ k =1/3