EC > GATE 2013 SET-3 > Polynomials
A polynomial f(x) = a4x4 + a3x3 + a2x2 + a1x - a0 with all coefficients positive has
A
no real roots
B
no negative real root
C
odd number of real roots
D
at least one positive and one negative real root

Correct : d

Similar Questions

Consider p(s)=s3+a2s2+a1s+a0 with all real coefficients. It is known that its derivative p'(s) has no real roots. The number of real roots of p(s) is
#420 MCQ
A polynomial f(x) = a4x4 + a3x3 + a2x2 + a1x − a0 with all coefficients positive has
#1193 MCQ
A polynomial f(x) = a4x4 + a3x3 + a2x2 + a1x - a0 with all coefficients positive has
#1245 MCQ

Related Topics

polynomial roots EC GATE 2013 GATE electrical engineering 2013 positive and negative roots real roots polynomial EC gate polynomial no roots GATE polynomial EC gate 2013 question 19

Unique Visitor Count

Total Unique Visitors

Loading......

Question Options

Contributed by: