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k का मान ज्ञात कीजिए, यदि (x – 3) बहुपद k2x2 – kx – 2 का गुणनखण्ड है।

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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

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