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Divide the polynomials.
Your answer should be a polynomial.

(x^(4)+5x^(3)+3x^(2))/(x)=

Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex4+5x3+3x2x= \frac{x^{4}+5 x^{3}+3 x^{2}}{x}=

Full solution

Q. Divide the polynomials.\newlineYour answer should be a polynomial.\newlinex4+5x3+3x2x= \frac{x^{4}+5 x^{3}+3 x^{2}}{x}=
  1. Given Polynomial Division: We are given the polynomial division x4+5x3+3x2x\frac{x^4 + 5x^3 + 3x^2}{x}. To divide a polynomial by a monomial, we divide each term of the polynomial by the monomial.
  2. Step 11: Divide first term: Divide the first term x4x^4 by xx. This gives us x4÷x=x3x^4 \div x = x^3.
  3. Step 22: Divide second term: Divide the second term 5x35x^3 by xx. This gives us 5x3÷x=5x25x^3 \div x = 5x^2.
  4. Step 33: Divide third term: Divide the third term 3x23x^2 by xx. This gives us 3x2÷x=3x3x^2 \div x = 3x.
  5. Step 44: Combine the results: Combine the results of the divisions to get the final polynomial. The result is x3+5x2+3xx^3 + 5x^2 + 3x.