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

Q23 of 113 Page 61

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

Now, we have:

= 7

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