Answer:
f(x) = x² + 4x + 3
Step-by-step explanation:
Here in this problem, we have to find the quadratic function that has x = - 1 and x = - 3 as the only two real zeros.
So, from the above condition, we can say that (x + 1) and (x + 3) are the only two factors of the function.
Therefore, the function will be f(x) = (x + 1)(x + 3), such that if the function is zero, then the solutions will be x = - 1 and x = - 3.
Hence, f(x) = x² + 4x + 3 (Answer)
