A quadratic function whose zeros are 2 and 7 is [tex]f(x) = x^2 - 9x+14[/tex]
If the zeros of a quadratic function are a and b, the quadratic function will be given as:
f(x) = (x - a)(x - b)
For the function f(x) whose zeros are 2 and 7:
f(x) = (x - 2)(x - 7)
Expand the equation
[tex]f(x)=x^2-7x-2x+14\\\\f(x) = x^2 - 9x+14[/tex]
Therefore, a quadratic function whose zeros are 2 and 7 is [tex]f(x) = x^2 - 9x+14[/tex]
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