Online College Courses for Credit

FREE EDUCATIONAL RESOURCES PROVIDED by SOPHIA

Are you a student?
Free Professional Development
+

Dividing Polynomials

Rating:
(3)
• (2)
• (1)
• (0)
• (0)
• (0)
Author: Kyle Webb
Description:
•

When we rewrite a trinomial as a product of two binomials, the binomials represent the factors of the original trinomial.  In this section, we will divide trinomials as well as higher order polynomials by other polynomials.  If the divisor is a factor of the polynomial, our remainder will be zero.  However, it is possible to have a remainder when dividing by a polynomial that is nonzero.

(more)

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

29 Sophia partners guarantee credit transfer.

310 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 27 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

Review of Long Division

Start at around 5:25. This video is not required, but serves as a review of long division, since we will be using the same process.

Long Division of Polynomials

Long Division of Polynomials - How to do long division on polynomials. 3 examples are shown!

Synthetic Division

Synthetic Division - This video shows how you can use synthetic division to divide a polynomial by a linear expression. It also shows how synthetic division can be used to evaluate polynomials!

Synthetic Division (2)

Synthetic Division - Example 2. Another video showing how to use synthetic division to divide a polynomial by a linear expression and also how to use the remainder to evaluate the polynomial.

Text Versions

If you'd prefer to read about polynomial long division and synthetic division, you can find resources:

Part 2

Rational Zero Theorem

Source: ProfKeester