Write a quadratic function $f$ whose zeros are 7 and -2 .
\[
f(x)=
\]

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Answer

$\boxed{f(x) = x^2 - 5x - 14}$ is the quadratic function whose zeros are 7 and -2.

Steps

Step 1 ：Let's write a quadratic function $f$ whose zeros are 7 and -2.

Step 2 ：A quadratic function with zeros at x=a and b can be written in the form of $f(x) = k(x-a)(x-b)$, where k is a constant.

Step 3 ：In this case, a=7 and b=-2. We can assume k=1 for simplicity, as it does not affect the zeros of the function.

Step 4 ：Substitute a, b, and k into the equation, we get $f(x) = (x-7)(x+2)$.

Step 5 ：Expand the equation, we get $f(x) = x^2 - 5x - 14$.

Step 6 ：$\boxed{f(x) = x^2 - 5x - 14}$ is the quadratic function whose zeros are 7 and -2.