Synthetic Division Part 6

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Taught by YourMathGal
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Lesson Summary:

In this lesson on synthetic division, Julie Harland shows how to divide a polynomial by a linear binomial using synthetic division, even when the coefficient of x in the linear binomial is not 1. She emphasizes the importance of writing the terms in descending order before performing the operation and dividing the coefficients in the quotient by the coefficient in front of x. She also explains how to check the work and notes that if no remainder is obtained, it means that the numerator could have been factored, leading to a different solution.

Lesson Description:

This video shows how to divide a polynomial by a linear binomial using synthetic division. Checking work is also shown. Shows how to use synthetic division when coefficient of x in linear binomial is not 1.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • How do you divide a polynomial by a binomial using synthetic division?
  • How do you divide (5 - 23x + 12x^2)/(4x - 1) with synthetic division?
  • How do you figure out what number goes in the box in a synthetic division problem?
  • What are the steps for performing synthetic division with a binomial that has a leading coefficient greater than 1?
  • How do you check your answer to a synthetic division problem?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson shows how to do another synthetic division problem with a polynomial and a binomial with a leading coefficient greater than 1. Each step in the process of setting up and performing the synthetic division is shown and explained.