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Determine an equation for the pictured graph.  Write your answer in factored form.

 

 Mar 26, 2021
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\(y = {-(x+1)(x+1)(x-0)(x-2)}\)
 

Why? You can see the roots at -1, 0 and 2. The polynomial is of order 4 (it does not look like order 3), but we only found three roots. One has to be a double root. It is the one at \(-1\), as the graph "touches" the x-axis but does not cross it. Take the corresponding factor twice.

Insert a value: \(x=1\), we obtain \(-4\). It should be \(+4\). Therefore the factor \(a\) is \(-1\).

 

Cheers

 Mar 26, 2021

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