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Which matrix can be multiplied to the left of a vector matrix to get a new vector matrix ?

This is my question~~ ( r ^ 4 - 2r ^ 3 - 23 r ^ 2 - 4r - 32)÷(r+4) ~~ i must use long division to solve it : / i was wondering if anyone world like to solve it. and if so, share step-by-step explanations! you! ❤

Which of the following represents the range of the graph of f(x) below