Question

If the sum of the zeros of a quadratic polynomial f x equal to k t square + 23 + 3 k is equal to the product find the value of k

Answer 1

Answer:

- 2/3

Step-by-step explanation:

Given If the sum of the zeros of a quadratic polynomial f (x) equal to kt^2 + 2t + 3 k is equal to the product find the value of k

Given f(t) = kt^2 + 2t + 3k

Let α and β be the roots of the quadratic polynomial then

α + β = - b / a = - 2 / k and

α β = c / a = 3 k / k = 3

Now it is given α + β = α β

                     - 2 / k = 3

                      k = - 2 / 3

So the value of k is equal to - 2 / 3.