SOLUTION: For the polynomial, list each real zero and it's multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. f(x)=1/2x4power (x2power-5)(x+1)

Algebra ->  Test -> SOLUTION: For the polynomial, list each real zero and it's multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. f(x)=1/2x4power (x2power-5)(x+1)      Log On


   

Question 329200: For the polynomial, list each real zero and it's multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept.
f(x)=1/2x4power (x2power-5)(x+1)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%281%2F2%29x%5E4%28x%5E2-5%29%28x%2B1%29
f%28x%29=%281%2F2%29x%5E4%28x-sqrt%285%29%29%28x%2Bsqrt%285%29%29%28x%2B1%29
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x=0, multiplicity:4
x=sqrt%285%29,multiplicity:1
x=-sqrt%285%29,multiplicity:1
x=-1,multiplicity:1
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graph%28300%2C300%2C-3%2C3%2C-2%2C2%2C%281%2F2%29x%5E4%28x%5E2-5%29%28x%2B1%29%29