यदि x + 4, 3x2 + kx + 8 का गुणनखंड है तब k का मान ज्ञात करें।

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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अवधारणा:

यदि p(x) एक फलन है और (x - a), p(x) का गुणनखंड है तो, p(a) = 0

गणना:

x + 4, 3x2 + kx + 8 का गुणनखंड है, इसलिए x = -4 इस समीकरन का हल होगा

⇒ 3(-4)2 + k(-4) + 8 = 0

⇒ 4k = 48 + 8

⇒ k = 14

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