Answered

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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)

Sagot :

Konrad509idn
[tex]f(x)=\dfrac{1}{4}x^2(x^2-5)(x+3)\\ x=0 \vee x=-\sqrt5 \vee x=\sqrt5 \vee x=-3[/tex]

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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