Answer:
The given polynomial of degree 4 has atleast one imaginary root
Step-by-step explanation:
Given that " Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer:
To find how many imaginary roots does the polynomial have :
- Since the degree of given polynomial is 4
- Therefore it must have four roots.
- Already given that the given polynomial has 1 positive real root and 1 negative real root .
- Every polynomial with degree greater than 1 has atleast one imaginary root.
Hence the given polynomial of degree 4 has atleast one imaginary root
