2.4polynomialdiv - Section 2.4 Dividing Polynomials...

This preview shows page 1 - 15 out of 25 pages.

Section 2.4 Dividing Polynomials; Remainder and Factor Theorems
Image of page 1
Long Division of Polynomials and The Division Algorithm
Image of page 2
Image of page 3
Long Division of Polynomials
Image of page 4
Long Division of Polynomials 2 3 2 9 6 5 x x x - + + 12 5 x + 4 + 13 3 x 2 9 6 x x - 12 8 x - 13 3 2 x + -
Image of page 5
Long Division of Polynomials with Missing Terms 2 3 3 2 2 2 x +5x -3 x 3x 2 x +5x 3x -5x 6x 2 -5x 25x 15 31x- 17 + - - + - - + 5 x - 2 31 17 5 3 x x x - + + - You need to leave a hole when you have missing terms. This technique will help you line up like terms. See the dividend above.
Image of page 6
Image of page 7
Example Divide using Long Division. 3 2 2 5 6 4 +7 x x x - -
Image of page 8
Example Divide using Long Division. 2 4 3 2 1 8 3 +5 1 x x x x x - - - +
Image of page 9
Dividing Polynomials Using Synthetic Division
Image of page 10
Image of page 11
Comparison of Long Division and Synthetic Division of X 3 +4x 2 -5x+5 divided by x-3
Image of page 12
Steps of Synthetic Division dividing 5x 3 +6x+8 by x+2 Put in a 0 for the missing term.
Image of page 13
] 2 5 + 7 - 1 - Using synthetic division instead of long division. Notice that the divisor has to be a binomial of degree 1 with no coefficients.
Image of page 14

Want to read all 25 pages?

Image of page 15

Want to read all 25 pages?

You've reached the end of your free preview.

Want to read all 25 pages?

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern