Download 5.2 Notes

5.2
Dividing Polynomials
DIVIDING BY A MONOMIAL
Example 1:
Remember!
6 3791
Polynomial Long Division
- Same format as dividing numbers.
Use FILLERS for standard form!
Example 2:
Divide x3 – 4x2 + 8 by x – 1
Example 3
 Simplify: (4x2 – 8x – 7)(2x – 3)–1
Example 4:
a. (y4 + 2y2 – y + 5) divided by (y2 – y +1)
Synthetic Division
- Used when divisor is in the form x – k.
- Polynomial must be in standard form. Use FILLERS if terms are
missing.
- Create a polynomial out of coefficients that are left under the line.
- The power of the first term is one less than the degree of the dividend.
- The final number is the remainder.
Example 5:
a. x3 – x2 –2x + 8 by x – 1
Example 6: Find the Remainder
2x3 + 13x – 7 by x + 6
Example 7: Simplfiy.
(4y – 6y + 4y – 1) (y – 2)-1
4
2
Example 8