Question

Write a quadratic function whose zeros are 7 and 2

Answer 1

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