#Can you walk me through the working out for part c and provide a topic name?
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is x = 0
so x is a factor (using factor theorem)
x = 6 is also a root
so (x-6) is a factor
now if you notice, you have only two roots instead of three(the graph is a cubic)
meaning one the roots is repeated
so one of the factors is also a repeated
in this case, it will be x -6
so the x(x-6)^2 is a factor of the cubic expression
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)
where k is any real number
sub in any x that is non zero (don't use roots)
they subbed maxima here
which is fine
topic name? idk
finding polynomials from graph
that is what you would search
I think
@wooden mesa