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santizoa61 santizoa61
  • 13-03-2015
  • Mathematics
Answered

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.


f(x) = 1/4x^2(x^2-5)(x+3)

Verified Answer :

konrad509
konrad509 konrad509
  • 13-03-2015

\(f(x)=\dfrac{1}{4}x^2(x^2-5)(x+3)\\ x=0 \vee x=-\sqrt5 \vee x=\sqrt5 \vee x=-3\)

x=0 is a double root and the graph touches the x-axis at it.
The rest zeroes are single ones and the graph crosses the x-axis at them.

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