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If α and β are the zeros of the polynomial f(x) = 5x2 ‒ 7x + 1, find the value of
It is given in the question that,
Zeros of the polynomial 5x2 – 7x + 1 are
Now by using the relationship between the zeros of the quadratic polynomial we have:
Sum of zeros = and product of zeros =
=
and
=
and
Now, we have:
=
=
= 7