Answer:
The quadratic function is:
[tex]f (x) = x ^ 2 + 11x +30[/tex]
Step-by-step explanation:
The zeros of a function are all values of x for which the function is equal to zero.
If a function has two zeros then it is a quadratic function.
If the zeros are -6 and -5. Then the function will have the following form:
[tex]f (x) = (x + 6) (x + 5)[/tex]
We can expand the expression by applying the distributive property, and we obtain
[tex]f (x) = x ^ 2 + 5x + 6x +30[/tex]
[tex]f (x) = x ^ 2 + 11x +30[/tex]
