If α and β are the zeros of the polynomial f(x) = 6x2 + x ‒ 2, find the value of

Q22 of 113 Page 61

If α and β are the zeros of the polynomial f(x) = 6x² + x ‒ 2, find the value of

It is given in the question that,

Zeros of the polynomial 6x² + x - 2 are

Now by using the relationship between the zeros of the quadratic polynomial we have:

Sum of zeros = and product of zeros =

= and

Now we have:

Write the zeros of the quadratic polynomial f(x) = 4√3x² + 5x ‒ 2√3.

If α and β are the zeros of the polynomial f(x) = x² ‒ 5x + k such that α ‒ β = 1, find the value of k.

If α and β are the zeros of the polynomial f(x) = 5x² ‒ 7x + 1, find the value of

If α and β are the zeros of the polynomial f(x) = x² + x – 2, find the value of