SOLUTION: For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept. f(x) = (x + 1/5)^2(x^2 + 5)^3

Question 57798: For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept.
f(x) = (x + 1/5)^2(x^2 + 5)^3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses or touches the x-axis at each x-intercept.
f(x) = (x + 1/5)^2(x^2 + 5)^3
-----------------
Zeros:
x=-1/5; multiplicity 2; touches but does not cross x-axis
x= isqrt5; multiplicity 3; does not touch and does not cross x-axis
x= -isqrt5; multiplicity 3; does not touch and does not cross x-axis
cheers,
stan H.
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