Question

if-3 is one of the zeroes of the quadratic polynomial {k-1} x^2 + kx- 3 then the value of k is=

Answer 1

Given :

-3 is a zero of the given polynomial.

To Find :

The value of k .

Solution :

Let the polynomial be:

f(x) = (k-1) x² + kx - 3

As -3 is zero of the quadratic polynomial : f(-3) = 0

⇒ f(-3) = (k-1) (-3)² + k(-3) - 3 = 0

⇒ (k-1)(9) - 3(k) - 3 = 0

⇒ 9k - 9 - 3k - 3 = 0

⇒ 6k - 12 = 0

⇒ 6k = 12

⇒ k = 2

∴ Value of k found is 2.

Hope this helps : )