lucascruz0400 lucascruz0400
  • 01-05-2018
  • Mathematics
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how many x intercepts appear on the graph of this polynomial function

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asti145 asti145
  • 01-05-2018
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
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