1. Warm up 1. 2.

2. Objective: To divide polynomials Lesson 6-7 Polynomial Long Division

3. Polynomial long division Divide 2x³ + 3x² - x + 1 by x + 2 x + 2 is the divisor The quotient will be here. 2x³ + 3x² - x + 1 is the dividend

4. Polynomial long division First divide the first term of the dividend, 2x³, by x (the first term of the divisor). This gives 2x². This will be the first term of the quotient.

5. Polynomial long division Now multiply 2x² by x + 2 and subtract

6. Polynomial long division Bring down the next term, -x.-x.

7. Polynomial long division Now divide –x², the first term of –x² - x, by x, the first term of the divisor which gives –x.–x.

8. Polynomial long division Multiply –x by x + 2 and subtract

9. Polynomial long division Bring down the next term, 1

10. Polynomial long division Divide x, the first term of x + 1, by x,x, the first term of the divisor which gives 1

11. Polynomial long division Multiply x + 2 by 1 and subtract

12. Polynomial long division In division, you must have a place for each power.

13. Polynomial long division