Question

If one zero of the quadratic polynomial kx² + 3x + k is 2, then find the value of k.

Answer 1

Given: x = 2 is one zero of the quadratic polynomial kx² + 3x + k

Therefore, it will satisfy the above polynomial.

Now, we have

k(2)² + 3(2) + k = 0

⇒ 4k + 6 + k = 0

⇒ 5k + 6 = 0 

⇒ k = `-6/5`