What is the factorization of the polynomial graphed below? Assume it has no constant factor

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What is the factorization of the polynomial graphed below? Assume it has no constant factor

Mathematics
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there we go
this graph has a shape of x^3 so it is degree 3 polynomial having x-intercepts at x=2,x=3,x=4 which implies you have the factors x-2 and x-3 and x-4 so the polynomial is P(x)=(x-2)(x-3)(x-4)
should i put the p(x) in as my answer
you can name the function whatever you want unless the book or teacher ask you to name it something else
? im just asking do i need to put p(x) in as part of my answer
can you explain how to do this please how did you get the answer
this graph has degree 3 and has x intercepts x=2,x=3,x=4 correct?
yes
if x=2 is an x intercept, then x-2 is a factor of our function. if x=3 is an x intercept, then x-3 is a factor of our function. if x=4 is an x intercept, then x-4 is a factor of our function.
The graph has 3 x intercepts. Therefore it has 3 distinct roots and can be represented as a product of 3 factors: (x-a)(x-b)(x-c) Where a, b, and c correspond to the 3 x values for which the graph is at y=0
ok but what does all that mean
ok polpak but how do i get my answer then
a,b,c are the x intercepts just plug them in to his expression for f(x)
ok ill try

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