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Question

If one of the zeroes of the quadratic polynomial (k−1)x2+kx+1 is (−3), then k equals to:

A
43
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B
−43
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C
23
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D
−23
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Solution

The correct option is C 43
Given : One of the zeros of quadratic polynomial (k−1)x2+kx+1 is −3
To find : Value of k
Solution : As −3 is one of the zeros of quadratic polynomial (k−1)x2+kx+1
⇒ When we substitute −3 in the polynomial , we get 0

⟹(k−1)(−3)2+k(−3)+1=0
⟹9k−9−3k+1=0
⟹6k−8=0

or k=86=43

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