Question

Factor the function f(x)=x^6+2x^3+1 to determine its behavior at the x-axis.

Answer 1

Hi,

Explanation:

`y=x^6+2x^3+1=(x^3+1)^2\\\text{ minimum of y is 1 (for x=0)}\\\\\text{The curve don't intersect the x-axis and is always above it}`