Question
Download Solution PDF3x2 + kx + 8 ന്റെ ഒരു ഘടകമാണ് x + 4 എങ്കിൽ, k യുടെ മൂല്യം എത്രയാണ്?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFഉപയോഗിച്ച 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 = 14Last updated on May 28, 2025
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