If one of the zeroes of the quadratic polynomial (k – 1)x2 + k x + 1 is –3, then the value of k is ______.

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If one of the zeroes of the quadratic polynomial (k – 1)x2 + k x + 1 is –3, then the value of k is underlinebb($\frac{4}{3}$). Explanation: According to the question, –3 is one of the zeros of quadratic polynomial (k – 1)x2 + kx + 1 Substituting – 3 in the given polynomial, (k – 1)(– 3)2 + k(–3) + 1 = 0 (k – 1)9 + k(–3) + 1 = 0 9k – 9 – 3k + 1 = 0 6k – 8 = 0 k = $\frac{8}{6}$ Therefore, k = $\frac{4}{3}$

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