Addition of polynomials
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The document provides instructions on how to perform the addition of polynomials. It begins with objectives to review absolute value, addition rules for numbers of different signs, and the commutative and associative properties needed to add polynomials. Examples are shown of adding numerical expressions and polynomial expressions by combining like terms. The key steps are to apply commutative and associative properties and reduce like terms when adding polynomials.
Addition of polynomials
- 1. ADDITION OF POLYNOMIALS BY: MÓNICA ELIZONDO YANN VILLARREAL
- 2. OBJECTIVES • By the end of this class we will help you to be able to: • Perform the addition of polynomials
- 3. LITTLE REVIEW In order for you to understand, we must review some of the basic rules of algebra • Do you remember what is an absolute value? • If you don’t, don’t worry we will see it right now. • An absolute value of a number represents the distance between the number and the origin in the number line. Source: http://www.learningwave.com/chapters/integer s/graphics/numberline.gif EXAMPLE Find the absolute value of the following: • |2|= • |-4|= • |0|= Answers • |2|= 2 • |-4|= 4 • |0|= 0
- 4. RULES FOR ADDITION OF NUMBER • Let’s remember a Little bit about addition so there’s no confussion later. In order to add two numbers of different signs we must subtract the absolute value of the lower number from the absolute value of the greater number. 30 + (-12) 123 + (-157) |30| - |12| |123| - |157| = 18 = -34
- 5. LET THE GAMES BEGIN! MAY THE ODDS BE EVER IN YOUR FAVOR • In order for us to perform an addition of polynomials we have to apply the commutative and associative properties for the addition and like terms will then be reduced. Let’s check an example: 3a2b + 5ab2 – 8a + 6b – 5 4a2 – 7ab2 + 8a – 2b - 10 We now combine like terms like we learn last chapter 7a2b – 2ab2 + 0 + 4b - 15 5x – 3y x – 4y + 9 -2x - 6y - 6 We combine like terms, again 4x – 13y + 3
- 6. THE END!