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

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Answer

$f (x) = x^{2} - 5 x - 14$ 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 $f (x) = x^{2} - 5 x - 14$ .

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