Dividing Polynomials with Synthetic Division

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Errors in this video:

The general form of synthetic division should read:
(ax^3 + bx^2 + cx + d) / (x + k).

Lesson Summary:

Learn how to divide polynomials with synthetic division, a helpful shortcut to long division. This method works only when the polynomial is in the form of x minus k and then a x cubed plus b x squared plus c x plus t. Students will learn how to determine k and how to take the opposite of it. By taking the coefficients of the other polynomial, they will put them in the synthetic division area and then drop down the leading coefficients. They will then multiply k times the number and add vertically, continuing until there is a remainder.

Lesson Description:

How to divide polynomials using synthetic division

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Questions answered by this video:
  • How do you divide polynomials with synthetic division?
  • How do you divide a polynomial by a binomial?
  • How do you divide (5x^3 + 6x + 8)/(x + 2) using synthetic division?
  • How do you know where to put the numbers using synthetic division?
  • How do you do synthetic division if you are missing a term?
  • Staff Review

    • Currently 3.0/5 Stars.
    All steps involved in setting up a synthetic division problem are shown. The problem is then completed by using synthetic division to find the quotient. Each of the resulting numbers is written as a coefficient of the resultant polynomial including the remainder.