How many x-intercepts appear on the graph of this polynomial function? f (x) = x Superscript 4 Baseline minus 5 x squared 1 x-intercept 2 x-intercepts 3 x-intercepts 4 x-intercepts

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Answer:

3 x-intercepts

Step-by-step explanation:

f(x) = x⁴ - 5x²

There will be 4 x-intercepts on the graph of this polynomial function

Given the polynomial equation expressed as:

  • f(x) = [tex]x^4-5x^2[/tex]

  • The x-intercept of a polynomial is determined by the degree of the given polynomial.

According to the polynomial given, we can see the highest degree of the polynomial is 4. Hence there will be 4 x-intercepts on the graph of this polynomial function

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