Write a quadratic function f whose zeros are −5 and 6.=fx
Question
Write a quadratic function f whose zeros are −5 and 6.=fx
Solution
A quadratic function is generally given by f(x) = a(x - h)(x - k), where h and k are the zeros of the function.
Given that the zeros of the function are -5 and 6, we can substitute these values into the equation.
So, the quadratic function becomes f(x) = a(x - (-5))(x - 6) = a(x + 5)(x - 6).
We can choose a = 1 (since the value of a doesn't affect the zeros of the function), so the function simplifies to:
f(x) = (x + 5)(x - 6)
This is the quadratic function whose zeros are -5 and 6.
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