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Divide the polynomials.
Your answer should be in the form 
p(x)+(k)/(x) where 
p is a polynomial and 
k is an integer.

(2x^(4)+5x+4)/(x)=◻

Divide the polynomials.\newlineYour answer should be in the form p(x)+kx p(x)+\frac{k}{x} where p p is a polynomial and k k is an integer.\newline2x4+5x+4x= \frac{2 x^{4}+5 x+4}{x}=\square

Full solution

Q. Divide the polynomials.\newlineYour answer should be in the form p(x)+kx p(x)+\frac{k}{x} where p p is a polynomial and k k is an integer.\newline2x4+5x+4x= \frac{2 x^{4}+5 x+4}{x}=\square
  1. Divide by x: Divide each term of the polynomial 2x4+5x+42x^4 + 5x + 4 by xx.\newlineWe divide 2x42x^4 by xx to get 2x32x^3.\newlineWe divide 5x5x by xx to get 55.\newlineWe divide 44 by xx to get xx00.
  2. Combine division results: Combine the results of the division to express the answer in the form p(x)+kxp(x) + \frac{k}{x}.\newlineThe polynomial part p(x)p(x) is 2x3+52x^3 + 5.\newlineThe remainder part is 4x\frac{4}{x}.\newlineSo, the final answer is 2x3+5+4x2x^3 + 5 + \frac{4}{x}.

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