Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Divide the polynomials.
Your answer should be a polynomial.

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

Divide the polynomials. Your answer should be a polynomial.\newlinex53x2+2xx= \frac{x^{5}-3 x^{2}+2 x}{x}=

Full solution

Q. Divide the polynomials. Your answer should be a polynomial.\newlinex53x2+2xx= \frac{x^{5}-3 x^{2}+2 x}{x}=
  1. Given Polynomial Division: We are given the polynomial division (x53x2+2x)/x(x^5 - 3x^2 + 2x) / x. To divide a polynomial by a monomial, we divide each term of the polynomial by the monomial.
  2. Step 11: Divide the first term: Divide the first term x5x^5 by xx. This gives us x5/x=x4x^5 / x = x^4.
  3. Step 22: Divide the second term: Divide the second term 3x2-3x^2 by xx. This gives us 3x2/x=3x-3x^2 / x = -3x.
  4. Step 33: Divide the third term: Divide the third term 2x2x by xx. This gives us 2x/x=22x / x = 2.
  5. Step 44: Combine the results: Combine the results of the divisions to get the final polynomial. The result is x43x+2x^4 - 3x + 2.