1 / 8

Polynomials and Polynomial Functions

Chapter 5. Polynomials and Polynomial Functions. Chapter Sections. 5.1 – Addition and Subtraction of Polynomials 5.2 – Multiplication of Polynomials 5.3 – Division of Polynomials and Synthetic Division 5.4 – Factoring a Monomial from a Polynomial and Factoring by Grouping

joewood
Download Presentation

Polynomials and Polynomial Functions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 5 Polynomials and Polynomial Functions

  2. Chapter Sections 5.1 – Addition and Subtraction of Polynomials 5.2 – Multiplication of Polynomials 5.3 – Division of Polynomials and Synthetic Division 5.4 – Factoring a Monomial from a Polynomial and Factoring by Grouping 5.5 – Factoring Trinomials 5.6 – Special Factoring Formulas 5.7-A General Review of Factoring 5.8 - Polynomial Equations

  3. Division of Polynomials and Synthetic Division § 5.3

  4. Divide a Polynomial by a Monomial To Divide a Polynomial by a Monomial Divide each term of the polynomial. To divide a polynomial by a monomial, we will need to use the quotient rule for exponents, the zero exponent rule, and the negative exponent rule.

  5. Divide a Polynomial by a Monomial Example

  6. dividend divisor 3t 1. Divide 6t 2 by 2t. Write the quotient above the term containing the t. 6t2 + 15t 2. Multiply the 3t by 2t + 5. Write the product under the like terms. -16t - 40 3. Subtract. Bring down the remaining term. Dividing Polynomials To divide a polynomial by a polynomial, use the same method as when performing long division.

  7. 3t - 8 6t2 +15t -16t - 40 4. Repeat, using the first term in the bottom row: -16t 2t = - 8 -16t- 40 0 Check your answer using the FOIL method. Dividing Polynomials

  8. Use the Remainder Theorem Remainder Theorem If the polynomial P(x) is divided by x – a, the remainder is equal to P(a).

More Related