Question

If alpha and beta are zeroes of polynomial then fine the polinomial having zeroes alpha+bet

Answer 1

let the polynomial be

$ax ^{2} + bx + c = 0$

then

$\alpha + \beta = \frac{ - b}{a}$

and

$\alpha \beta = \frac{c}{a}$

therefore the polynomial is

$ax ^{2} + bx + c = 0$

hope this helps you

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