Given the function, where a, b, and c are positive numbers: f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?

2 real roots and 1 imaginary roots

Step-by-step explanation:

f(x) =

There are only 2 real roots and one imaginary roots.

Separate the equation into sections because the function is a multiplication with no outside sum or substraction:

Real Roots:

= 0 when x = a

= 0 when x = b

Imaginary roots:

= 0 when x =