# Dividing Polynomials with Synthetic Division

Taught by mrbrianmclogan
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Part of video series
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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