Respuesta :

Since there are two zeroes, the polynomial function of lowest degree is a quadratic polynomial.

Let it be p(x).

So, [tex]p(x) = (x-\sqrt{5})(x-2)[/tex]

Note that the leading coefficient should be 3.

Therefore, [tex]p(x) = 3(x-\sqrt{5} )(x-2)[/tex]

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

[tex]=3x^{2}-3(2+\sqrt{5})x+6\sqrt{5}[/tex]

Answer:

the polynomial is: 3x^2-21x+30

Step-by-step explanation:

go it right on edge