How many x intercepts appear on the graph of this polynomial function

The answerthe complement of the question is perhaps the functionf (x) = x4 - 5x2to find the value of x-intercepts, just egalize f (x) = x4 - 5x2 to 0, and solve the equation. that is x4 - 5x2 = 0 equivalent to x² (x²-5) = 0, this implies x²-5 = 0 and x²=0, it implies x=0 and x² = 5, which means x = + / - sqrt (5) so the x intercepts are x=0, x = - sqrt (5) and x = + sqrt (5)

finally the answer is 3 x intercepts