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

Similar Questions

Let x and y be integers satisfying the following equations2x2+y2=34x+2y=11The value of (x+y) is ________.
#518 Fill in the Blanks
Let y2-2y+1=x and √x+y=5. The value of x+√y equals ________. (Give the answer up to three decimal places)
#519 Fill in the Blanks
The relationship between two variables x and y is given by x+py+q=0 and is shown in the figure. Find the values of p and q.Note: The figure shown is representat...
#984 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: