To add and subtract polynomials: 1) Add like terms by combining coefficients of identical terms 2) Sort polynomials in descending order by exponent before adding or subtracting 3) To subtract polynomials, change the sign of the second polynomial and add it to the first

1. 6.7 Addition and Subtraction of PolynomialsObjective: To add and subtract polynomials

2. To write the sum of polynomials in descending orderFrameworks: 10.P.3

3. To add polynomials, add like terms:Add: 7x2 - 2x + 1 4x2 + 3x - 6 11x2 + x - 5

4. Sometimes you have to sort first:Add: 9y3 - 7y + 8 + y2 7y – y3 – 3y4 - 3Sort: 9y3 + y2 - 7y + 8 – 3y4 – y3 + 7y - 3

5. Add: 5x2 + 7x5 - 8 -9x2 + x – 2 – 6x5

6. You can also use a horizontal form: 5x2 + 7x5 - 8 -9x2 + x – 2 – 6x5Sort in descending order:7x5 – 6x5 + 5x2 -9x2 + x – 8 - 2

7. How would you simplify . . .-(5x2 + 7x5 - 8)Change the sign of each term.

8. Subtraction(5a2 - 3a + 6)- (2a2 - 3a - 2)Add the opposite:5a2 - 3a + 6-2a2 + 3a + 2

9. OrderSubtract0.2x3 - .5x + 0.1 from 0.4x2 + 0.3x – 0.7Which one gets subtracted?

10. Turn to page 224Do 1-10