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If one of the zeroes of the quadratic polynomial (k - 1)x2 + kx + 1 is -3, then the value of k is
  • a)
    4/3
  • b)
    -4/3
  • c)
    2/3
  • d)
    -2/3
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If one of the zeroes of the quadratic polynomial (k - 1)x2 + kx + 1 is...
p(x) = (k - 1)x2 + kx +1
One zero of polynomial is - 3 i.e. p(-3) = 0
⇒ (k - 1) (-3)2 + k(-3) + 1 = 0
⇒ 9k - 9 - 3k + 1 = 0
⇒ 6k - 8 = 0
⇒ k = 8/6 = 4/3
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If one of the zeroes of the quadratic polynomial (k - 1)x2 + kx + 1 is -3, then the value of k isa)4/3b)-4/3c)2/3d)-2/3Correct answer is option 'A'. Can you explain this answer?
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