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Question

If α and β are the zeros of the quadratic polynomial f(x) = x2 − 5x + 4, find the value of 1α+1β-2αβ.

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Solution

Sinceand are the zeros of the quadratic polynomial

Therefore

=

= 5

We have,

By substituting and we get ,

Taking least common factor we get ,

Hence, the value of is.


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