Question 1 If one of the zeroes of the quadratic polynomial (k–1)x2+kx+1 is -3, then the value of k is (A)43 (B)−43 (C)23 (D)−23
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Solution
Given that, one of the zeroes of the quadratic polynomial say p(x)=(k–1)x2+kx+1,is−3.thenp(−3)=0 ⇒(k–1)(−3)2+k(−3)+1=0 ⇒9(k–1)–3k+1=0 ⇒9k–9–3k+1=0 ⇒6k–8=0 ⇒k=43