A polynomial $$p$$ is graphed. What could be the equation of $${p}$$ ? ![](http://admin.getprephub.com/media/editor/pg16_20221223194101996496.png)

zeros of the polynomial $$=-2,0 , 2.5(=\frac{3}{2})$$ The graph touches $$x$$-axis at $$0$$ So, the multiplicity is an even number. The graph crosses $$x$$-axis at $$x=-2, \frac{5}{2}.$$ So, the multiplicity is an odd number. The polynomial be $$p(x)=x^{2}(2 x-5)(x+2)$$

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MCQ

A polynomial $p$ is graphed. What could be the equation of ${p}$ ?

Select all that apply :

$p(x)=x^{2}(x-5)(x+2)$

$p(x)=x(2 x-5)(x+2)^{2}$

$p(x)=x^{2}(2 x-5)^{2}(x+2)$

$p(x)=x(2 x-5)^{2}(x+2)$

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