Question

If alpha and beta are the two zeros of the quadratic polynomial of f(X )=x^-3X -2, find a quadratic or no meal polynomial who zeros are 1 by 2alpha plus beta and 1by 2 beta plus alpha

Answer 1

the zeroes of this polynomial are $</strong>3+\sqrt{17} /2 and 3-\sqrt{17} /2<strong>$\\ now we want a polynomial with zeroes as $</strong>1/2*3+\sqrt{17}  and  1/2*3-\sqrt{17} /2<strong>$\\=   $</strong>   2/3+3\sqrt{17} and 2/3-3\sqrt{17}$

therefore the equation will be $[x-(2/3+3\sqrt{17} )] [x-(2/3-3\sqrt{17} )]$

simplify this and you will get the equation

Step-by-step explanation:

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