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

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Answer 1 · 2015-09-20T20:37:09

One time.

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

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

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

How many times does f(x)= 6x^11 - 3x^5 + 2f(x)=6x11−3x5+2f(x)= 6x^11 - 3x^5 + 2 intersect the x-axis?