#Can you walk me through the working out for part c and provide a topic name?

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ornate glacier
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one of the roots

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is x = 0

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so x is a factor (using factor theorem)

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x = 6 is also a root

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so (x-6) is a factor

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now if you notice, you have only two roots instead of three(the graph is a cubic)

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meaning one the roots is repeated

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so one of the factors is also a repeated

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in this case, it will be x -6

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so the x(x-6)^2 is a factor of the cubic expression

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and you say that kx(x-6)^2 is the equation of the graph (k is multiplied because there are infinite cubic graphs that have the same factors but they have different outputs, so you write k and solve for k for this specific graph in the question)

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where k is any real number

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sub in any x that is non zero (don't use roots)

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they subbed maxima here

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which is fine

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topic name? idk

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finding polynomials from graph

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that is what you would search

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I think

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@wooden mesa

wooden mesa
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okay thanks so much

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Its something i did in year 12