Electrical Engineering > GATE 2020 > Algebra
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 cannot ensure that all roots are real.

Correct : a

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