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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 :

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$\frac{2}{3}$

$\frac{4}{3}$

$- \frac{2}{3}$

$- \frac{4}{3}$

answer is A.

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Detailed Solution

Given equation: (k – 1)² + kx + 1
One of the zeros is – 3, so it must satisfy the equation.
∴ (k- 1) (- 3)² + k(-3) + 1 =0
⇒ 9k – 9 – Ik + 1 = 0
⇒ 6k – 8 = 0
⇒ k = $\frac{8}{6}$ = $\frac{4}{3}$

Therefore, $\frac{4}{3}$ is the correct response.

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