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?

Question

Lucille Blanchard

Mathematics

19 December, 13:08

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?

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Answers (1)

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Ximena Newman · Answer 1

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