# How many times does f(x)= 6x^11 - 3x^5 + 2 intersect the x-axis?

One time.

#### Explanation:

This is equivalent to say for what values of $x$ we have $f \left(x\right) = 0$

From the graph below we see that $f \left(x\right)$ intersects the x-axis one time.

graph{6x^11-3x^5+2 [-10, 10, -5, 5]}