Respuesta :

Answer:

[tex]A.f(x) = x^{2} -2x - 15[/tex]

Step-by-step explanation:

Based on the given information, one can write the quadratic equation in factored form. Since the zeros of the equation are the roots, one can say that;

[tex]y = ( x + 3 )( x - 5)[/tex]

(where x = -3, and x = 5 are the roots)

Now all one has to do is distribute to find the quadratic equation in standard form;

[tex]y = (x + 3) (x - 5)\\y = x^{2} +3x - 5x - 15\\y = x^{2} -2x - 15[/tex]