1 / 14

6.1 Review of the Rules for Exponents

6.1 Review of the Rules for Exponents. Product rule for exponents: Power Rule (a) for exponents: Power Rule (b) for exponents: Power Rule (c) for exponents:. 6.1 Review of the Rules for Exponents. Changing from negative to positive exponents: Quotient rule for exponents:.

gita
Download Presentation

6.1 Review of the Rules for Exponents

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. 6.1 Review of the Rules for Exponents • Product rule for exponents: • Power Rule (a) for exponents: • Power Rule (b) for exponents: • Power Rule (c) for exponents:

  2. 6.1 Review of the Rules for Exponents • Changing from negative to positive exponents: • Quotient rule for exponents:

  3. 6.2 Adding and Subtracting Polynomials;Graphing Simple Polynomials • When you read a sentence, it split up into words. There is a space between each word. • Likewise, a mathematical expression is split up into terms by the +/- sign: • A term is a number, a variable, or a product or quotient of numbers and variables raised to powers.

  4. 6.2 Adding and Subtracting Polynomials;Graphing Simple Polynomials • Like terms – terms that have exactly the same variables with exactly the same exponents are like terms: • To add or subtract polynomials, add or subtract the like terms.

  5. 6.2 Adding and Subtracting Polynomials;Graphing Simple Polynomials • Degree of a term – sum of the exponents on the variables • Degree of a polynomial – highest degree of any non-zero term

  6. 6.2 Adding and Subtracting Polynomials;Graphing Simple Polynomials • Monomial – polynomial with one term • Binomial - polynomial with two terms • Trinomial – polynomial with three terms • Polynomial in x – a term or sum of terms of the form

  7. 6.3 Multiplication of Polynomials • Multiplying a monomial and a polynomial: use the distributive property to find each product.Example:

  8. 6.3 Multiplication of Polynomials • Multiplying two polynomials:

  9. 6.3 Multiplication of Polynomials • Multiplying binomials using FOIL (First – Inner – Outer - Last): • F – multiply the first 2 terms • O – multiply the outer 2 terms • I – multiply the inner 2 terms • L – multiply the last 2 terms • Combine like terms

  10. 6.3 Multiplication of Polynomials • Squaring binomials: • Examples:

  11. 6.3 Multiplication of Polynomials • Product of the sum and difference of 2 terms: • Example:

  12. 6.4 Division of Polynomials • Dividing a polynomial by a monomial:divide each term by the monomial

  13. 6.4 Division of Polynomials • Dividing a polynomial by a polynomial:

  14. 6.4 Division of Polynomials • Synthetic division:answer is:remainder is: -1

More Related