If a polynomial with real coefficients is of degree 3. Can we say there must be at least 1 real root? a. Yes, because complex roots must appear in conjugate pairs, leaving one root real. b. No. we can’t say anything about this case
c. Yes, because if there is one real root, there must be two additional real roots
d. No, because such a curve never crosses the x-axis
e. Sometimes yes and sometimes no

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:

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

a 360 degree rotation

step-by-step explanation: