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यदि (x – 2) बहुपद 4x3 + 3x2 – 4x + k का एक गुणनखण्ड है तो k का मान ज्ञात कीजिए।

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यदि (x – 2), f(x) = 4x3 + 3x2 – 4x + k का एक गुणनखण्ड है तो x – 2 = 0 या x = 2 रखने पर

∴ f(2) = 0

4(2)3 + 3(2)2 – 4(2) + k = 0

32 + 12 – 8 + k = 0

36 + k = 0 ⇒ k = -36

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