This is a part of my reviewer in mathematics, can someone help me?

If x1,x2,...,xN are given (real) numbers , then (x-x1)(x-x2)...(x-xN) is a polynomial with those numbers as roots. If the multiplicity of x1 is 3 for example, then you can consider it as a 'triple root' and a satisfying polynomial would be (x-x1)(x-x1)(x-x1)(x-x2)(x-x3)...(x-xN)= (x-x1)\^3 (x-x2)(x-x2)...(x-xN)
If r is a root of a polynomial then (x-r) is a factor.

The multiplicity of a root is the number of times it appears as a factor.   So if r has multiplicity 2 then (x-r)^(2) would be a factor.

Also, the roots of a polynomial aren't affected when you multiply the polynomial by a non-zero constant.    In particular, if (x-2/3) is a factor, so is (3x-2) because you can multiply (x-2/3) by 3 to get (3x-2).
The description of the polynomial tells you what it looks like when factored.  Can you start by writing when the factored expression?
(x – -2)(x – -2)(x – 3)(3x – 2) * k = 0

Expanding will get

(3x^4 + ... + ... + 24) * k = 0

I'm guessing you made a typo copying choice b and it starts with 3x⁴.
i appreciate all of the advices, but can someone link me to a tutorial video or something. this multiple choice question is indeed confusing me

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