Question

If the product of the zeros of the quadratic polynomial x² – 4x + k is 3, then write the value of k.

Answer 1

Given: The quadratic is x² – 4x + k and the product of its zeros is 3.

Let the zeros be α and β.

For a quadratic ax² + bx + c, `αβ = c/a`.

So, here `αβ = k/1 = k`.

Since αβ = 3 (given), we have k = 3.