Divide polynomials using Long Division - Easy steps!

Показать описание

Study math #athome #withme

In this video tutorial, i explain how to divide polynomials using the long division algorithm.

Division of a polynomial by a polynomial is done using long division. Follow these steps:
1) Arrange both polynomials in descending powers of the same variable. For any missing powers of variable, add a term with 0 coefficient.
2) Divide the first terms and proceed as in normal long division.

To divide a polynomial using the long division algorithm, we continuously divide the polynomial (dividend) with the term having the highest power on the variable(s) in the divisor to get the quotient. We will then multiply all the terms of the divisor by the quotient and subtract the result from the dividend. The result is divided again by the term having the highest power in the variable in the divisor to get another term of the quotient. This process is repeated until the term having the highest power of the variable in the divisor can no longer divide into the dividend.

The result after subtracting the product of the last term of the quotient and the divisor from the remaining part of the dividend is the the remainder when the divisor divides the original polynomial. If the remainder is zero, then the divisor is a factor of the original polynomial.

We write our original polynomial equals to quotient plus remainder over divisor.

In this video, you will see many different types of examples:
1. Long division of numbers - refresher!
2. Division of a polynomial by a polynomial
3. Division of a polynomial by a polynomial with some missing terms example.

As a passionate mathematics teacher, my goal is to provide clear explanations of various mathematical concepts. I hope my tips and tricks will help students or any math lovers in enhancing their mathematical skills.

Here is the whole calculus playlist:

Basic Mathematics (Refresher of some middle/high school math concepts)