Question

If -3 is one of the zeroes of the quadratic polynomial (k − 1)x² + kx − 3, then the value of k is

a) -1/2
b) 1/2
c) -2
d) 2​

Answer 1

Question

If -3 is one of the zeroes of the quadratic polynomial (k − 1)x² + kx − 3, then the value of k is

To find

Value of K

Answer

d) 2

Step by step solution

$p(x) =( k - 1) {x}^{2} + kx - 3 \\ p( - 3) =( k - 1)( - 3) {}^{2} + k \times - 3 - 3 = 0 \\ = 9k - 9 - 3k - 3 = 0 \\ 6k - 12= 0 \\ 6k = 12 \\ k = \frac{12}{6} \\ k = 2$