GATE ECE 2013 | Question: 20

Question

A polynomial $f(x) = a_{4}x^{4} + a_{3}x^{3} + a_{2}x^{2} + a_{1}x - a_{0}$ 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