Question

If a polynomial with real coefficients is of degree 3. Can we say there must be at least 1 real root?

Answer 1

Answer:

A polynomial of degree 3 has 3 linear factors… (1): (x - i ) (x + i ) (x + a) . If any 2 factors are conjugate as here first 2 factors are conjugate with complex roots. So at least one root should be real.

Step-by-step explanation: