যদি x + 4, 3x2 + kx + 8 এর একটি উৎপাদক হয় তাহলে k এর মান কত হবে?

This question was previously asked in
SSC CPO Tier- I Previous Paper 14 (Held on: 7th July 2017 Shift 2) 
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  1. 4
  2. -4
  3. -14
  4. 14

Answer (Detailed Solution Below)

Option 4 : 14
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Detailed Solution

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অনুসৃত ধারণা:

যদি p(x) একটি ফলন হয় এবং (x - a), p(x) এর একটি উৎপাদক হয় তাহলে, p(a) = 0 হবে

গণনা:

x + 4 হল 3x2 + kx + 8 এর একটি উৎপাদক, তাই x = -4 এই সমীকরণের একটি সমাধান হবে

⇒ 3(-4)2 + k(-4) + 8 = 0

⇒ 4k = 48 + 8

⇒ k = 14

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