Question

If ƒ(x), g(x) and h(x) are polynomials of degree 2, then

ϕ(x) = |(f(x),g(x), h(x)),f'(x), g'(x),h'(x), f''(x),g''(x)h''(x)|  is a polynomial of degree

(a)  2

(b)  3

(c)  4

(d)  None of these

Answer 1

Correct option (d)

Explanation:

(∴  ƒ(x), g(x), h(x) are polynomials of degree 3, ƒ"(x), g"(x) and h"(x) =0)

⇒ ϕ¹ (x) = 0

∴ ϕ(x) is a constant