Question

show that the polynomial f(x) = x4 + 4x2 + 6 has no zero.

Answer 1

because there are no method to solve it only it's graph can be drawn.

Answer 2

Answer:

Step-by-step explanation:

x4 and x2 are always positive irrespective of whether x is positive or negative.

As all the 3 terms in this polynomial are all positive, this polynomial can never become zero for real values of x. Hence, the given polynomial has no real zeros.