1. Dividing polynomials
This PowerPoint presentation demonstrates two different methods of polynomial division.
Click here to see algebraic long division
Click here to see dividing “in your head”

2. #1 Divide a polynomial by a monomial.

3. #2 Divide a polynomial by a monomial.

4. #3 Divide the following numbers.
Check

5. Long Division
Divide the first term of the numerator by the first term of the denominator.
Distribute your quotient by the entire polynomial in the denominator.
Distribute a negative by through your product.

6. #4 Divide the following numbers (Long Division)
Remainder

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

8. Algebraic 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.

9. Algebraic long division
Now multiply 2x² by x + 2
and subtract

10. Algebraic long division
Bring down the next term, -x.

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

12. Algebraic long division
Multiply –x by x + 2
and subtract

13. Algebraic long division
Bring down the next term, 1

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

15. Algebraic long division
Multiply x + 2 by 1
and subtract

16. Algebraic long division
The quotient is 2x² - x + 1
The remainder is –1.

17. #5 Dividing a polynomial by a polynomial (Long Division)
Check

18. #6 Dividing a polynomial by a polynomial (Long Division)
Check

19. #7 Dividing a polynomial by a polynomial (Long Division)

20. Homework
Pages 236 – 237
#’s 4, 10, 15, 21, 22, 24