Question

How many total complex roots does the function have? f(x) = (x + 3) ^ 3 * (2x - 1) * (x + 5)

Answer 1

Given the function;

`f(x)=(x+3)^3*(2x-1)*(x+5)`

The function when simplified becomes;

`f(x)=2x^5+27x^4+130x^3+252x^2+108x-135`

Note that the highest degree of a polynomial gives you the highest number of complex roots for the polynomial.

ANSWER:

Hence, since this is a 5th degree polynomial, it has 5 complex roots.