Question

Which of the following quartic functions has x= -1 and x = -3 as its only two real zeros

Answer 1

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)