3x2 + kx + 8 ന്റെ ഒരു ഘടകമാണ് x + 4 എങ്കിൽ, k യുടെ മൂല്യം എത്രയാണ്?

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

Answer (Detailed Solution Below)

Option 4 : 14
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ഉപയോഗിച്ച ആശയം:

p(x) ഒരു ഫലനവും (x - a) എന്നത് p(x) ന്റെ ഘടകവുമാണെങ്കിൽ, p(a) = 0:

കണക്കുകൂട്ടൽ:

3x2 + kx + 8 ന്റെ ഒരു ഘടകമാണ് x + 4. അതിനാൽ, x = -4 എന്നത് ഈ സമവാക്യത്തിന്റെ പരിഹാരമായിരിക്കും.

⇒ 3(-4)2 + k(-4) + 8 = 0

⇒ 4k = 48 + 8

⇒ k = 14
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