Question

The sum of the zeroes of Quantico polynomial is 15 bate 4 and their product is 3 find the
polynomial

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Answer 1

Answer:

let  and β be the roots of the equation

let us assume that \alpha =-3

then

\alpha +\beta =15

-3+\beta =15

\beta =18  

As we know, the given quadratic can be written as

$x^{2} -x(\alpha+\beta )+\alpha\beta =0\\x^{2} -x(15)+(-3*18)=0\\x^{2} -15x-54=0$