Question

Polynomial of degree 4 has 1 positive real root that is bouncer and 1 negative real root that is a bouncer. How many imaginary roots does the polynomial have?

Answer 1

The given polynomial of degree 4 has atleast one imaginary root

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