Question:
If $\alpha, \beta$ are the zeros of a polynomial such that $\alpha+\beta=6$ and $\alpha \beta=4$ the write the polynomial.
Solution:
If the zeroes of the quadratic polynomial are α and β then the quadratic polynomial can be found as
$x^{2}-(\alpha+\beta) x+\alpha \beta$ ..........(1)
Substituting the values in (1), we get
$x^{2}-6 x+4$
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