Polynomial and Rational Functions Writing a quadratic function given its zeros

Write a quadratic function $h$ whose zeros are -4 and 5 .
\[
h(x)=
\]

Step 1 ：The zeros of a quadratic function are the values of x that make the function equal to zero. They are the solutions to the equation \(h(x) = 0\).

Step 2 ：Given that the zeros of the function are -4 and 5, we can write the function in factored form as \(h(x) = a(x - (-4))(x - 5)\), where \(a\) is a constant.

Step 3 ：Since the problem does not specify a leading coefficient, we can assume that \(a = 1\).

Step 4 ：So, the quadratic function is \(h(x) = (x + 4)(x - 5)\).

Step 5 ：Expanding this factored form of the quadratic function to its standard form, we get \(h(x) = x^2 - x - 20\).

Step 6 ：Final Answer: The quadratic function \(h\) whose zeros are -4 and 5 is \(h(x) = \boxed{x^2 - x - 20}\).