If one zero of the quadratic polynomial kx2 + 3x + k is 2, then find t – InterviewSolution

1.

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

Answer»

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 = - \(\frac{6}5\)

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