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Write a quadratic function whose zeros are 7 and 2

User Inquiring Minds
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11 votes

Answer:

A quadratic function whose zeros are 2 and 7 is f(x) = x^2 - 9x + 14

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

f(x)= x^2 - 7x - 2x + 14

f(x) = x^2 - 9x + 14

Therefore, a quadratic function whose zeros are 2 and 7 is

f(x) = x^2 - 9x + 14

User Matteo Cardellini
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