Polynomial Long Division Part 1

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Taught by MrRutter
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Lesson Summary:

This lesson explains how to divide polynomials, starting with simple division of a polynomial by a monomial and then moving on to long division of polynomials. The distributive property is used to divide each individual term in the polynomial by the divisor. For long division, the setup is similar to regular long division with the divisor on the outside and the dividend on the inside. Placeholders may be necessary for missing powers of the divisor in the dividend. This method is necessary for more complex polynomials that cannot be divided using synthetic division.

Lesson Description:

An explanation of how to divide polynomials.

Questions answered by this video:
  • How do you divide polynomials?
  • How do you divide (12p^3t^2r - 21p^2qtr^2 - 9p^3tr)/3p^2tr?
  • How do you divide a trinomial by a monomial?
  • How do you split up a polynomial over a monomial?
  • How do you divide monomials?
  • How do you divide a polynomial by a binomial?
  • How do you do long division of polynomials?
  • How do you set up (x^5 + 2x^4 - 5)/(x^2 + 1) for polynomial long division?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson explains dividing a polynomial by a monomial. This then leads into polynomial long division in which you divide a polynomial by another polynomial. For the complete solution to the polynomial long division problem, check out the next video.