Question

Isabel believes that f(x)=x³-9x²+27x-27 has 3 complex roots. Nicky told her that it has 4 complex roots. Who is correct? What error was made by the other friend?

Answer 1

Isabel is correct. The polynomial has at most 3 complex roots.

Step-by-step explanation:

Isabel believes that the given function f(x)=x³-9x²+27x-27 has 3 complex roots. Nicky told her that it has 4 complex roots. Who is correct? What error was made by the other friend?

To determine the number of complex roots, we need to consider the degree of the polynomial. The polynomial in question is of degree 3, so it can have at most 3 complex roots.

Therefore, Isabel is correct. Nicky made an error by suggesting that the polynomial has 4 complex roots.