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# Algebra 6 Point 7

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### Algebra 6 Point 7

1. 1. 6.7 Addition and Subtraction of Polynomials<br />Objective: <br /><ul><li>To add and subtract polynomials
2. 2. To write the sum of polynomials in descending order</li></ul>Frameworks: 10.P.3<br />
3. 3. To add polynomials, add like terms:<br />Add:<br /> 7x2 - 2x + 1<br /> 4x2 + 3x - 6<br /> 11x2 + x - 5<br />
4. 4. Sometimes you have to sort first:<br />Add:<br /> 9y3 - 7y + 8 + y2<br /> 7y – y3 – 3y4 - 3<br />Sort:<br /> 9y3 + y2 - 7y + 8<br /> – 3y4 – y3 + 7y - 3<br />
5. 5. Add:<br /> 5x2 + 7x5 - 8<br /> -9x2 + x – 2 – 6x5<br />
6. 6. You can also use a horizontal form:<br /> 5x2 + 7x5 - 8<br /> -9x2 + x – 2 – 6x5<br />Sort in descending order:<br />7x5 – 6x5 + 5x2 -9x2 + x – 8 - 2 <br />
7. 7. How would you simplify . . .<br />-(5x2 + 7x5 - 8)<br />Change the sign of each term.<br />
8. 8. Subtraction<br />(5a2 - 3a + 6)- (2a2 - 3a - 2)<br />Add the opposite:<br />5a2 - 3a + 6<br />-2a2 + 3a + 2<br />
9. 9. Order<br />Subtract0.2x3 - .5x + 0.1 from 0.4x2 + 0.3x – 0.7<br />Which one gets subtracted? <br />
10. 10. Turn to page 224<br />Do 1-10<br />