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

Question

Philoid · Accepted Answer

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:

=