ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?

No choice of coefficients can make all roots identical.

d can be chosen to ensure that x = 0 is a root for any given set a, b, c.

a, b, c, d can be chosen to ensure that all roots are complex.

c alone can ensure that all roots are real.

ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a,

1.	ax3 + bx2 + cx + d is a polynomial on real x over real coefficients a, b, c, d wherein a ≠ 0. Which of the following statements is true?
A.	d can be chosen to ensure that x = 0 is a root for any given set a, b, c.
B.	No choice of coefficients can make all roots identical.
C.	a, b, c, d can be chosen to ensure that all roots are complex.
D.	c alone can ensure that all roots are real.
Answer» B. No choice of coefficients can make all roots identical.