Question

If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\).

• A. B, D, A, E, C
• B. D, B, A, E, C
• C. B, A, D, C, E
• D. B, D, A, C, E

Hint:

When a polynomial has real rational coefficients, imaginary and irrational conjugate roots must also be considered.

Answer 1

The Correct Option is D