Dividing Polynomials

See Exponents to review how to use the quotient rule with monomials.

Traditional Long Division (see bottom of page for Synthetic Division)

Divide a Polynomial by a Monomial Explains and shows examples of how to Divide a Polynomial by a Monomial

Divide Polynomials using long division - Part 1 Part 1 of how to divide a Polynomial by a Polynomial using long division.

Dividing polynomials using long division-Part 2 This is Part 2 of Dividing Polynomials using long division. The example shows how to divide a polynomial with 4 terms by a binomial. See Part 3 for how to check the answer to this problem.

Divide Polynomials using long division - Part 3 This is Part 3 of Dividing Polynomials using long division. Part 2 shows how to divide a polynomial with 4 terms by a binomial. Part 3 shows how to check the answer to the problem in part 2.

Dividing polynomials using long division-Part 4 This is Part 4 of Dividing Polynomials using long division, which shows more examples, and shows the subtraction part a little differently than shown in Part 2.

Synthetic Division

Some teachers don't like students to know how to divide using Synthetic Division. Synthetic Division can only be used if you have a polynomial divided by a linear binomial (e.g., x - 3).  Below are division problems using Synthetic Division, which is a short, faster way to do Long Division in special circumstances.  Students need to know how to do Traditional Long Division.

Synthetic Division Part 1: http://youtu.be/yFuZOIorGRw

Synthetic Division Part 2: http://youtu.be/mHQQYvQxiQ0

Synthetic Division Part 3: http://youtu.be/XT-bPC1x2yc

Synthetic Division Part 4: http://youtu.be/tfkAkRWf_5c

Parts 5 - 7 show how to divide by linear polynomials when the coefficient of the linear divisor is not 1; e.g., 2x - 3.

Synthetic Division Part 5: http://youtu.be/B1RtW76qUOo

Synthetic Division Part 6: http://youtu.be/JXGC4hLNeQ8

Synthetic Division Part 7: http://youtu.be/JXGC4hLNeQ8