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5.2

5.2. Dividing Polynomials. Example 1:. Dividing by a monomial. Remember!. Polynomial Long Division - Same format as dividing numbers. Use FILLERS for standard form!. Example 2: Divide x 3 – 4x 2 + 8 by x – 1. Example 3. Simplify: (4 x 2 – 8 x – 7)(2 x – 3) –1. Example 4:

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5.2

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  1. 5.2 Dividing Polynomials

  2. Example 1: Dividing by a monomial

  3. Remember!

  4. Polynomial Long Division- Same format as dividing numbers. Use FILLERS for standard form! Example 2: Divide x3 – 4x2 + 8 by x – 1

  5. Example 3 • Simplify: (4x2 – 8x – 7)(2x – 3)–1

  6. Example 4: a. (y4 + 2y2 – y + 5) divided by (y2 – y +1)

  7. 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

  8. Example 6: Find the Remainder 2x3 + 13x – 7 by x + 6

  9. Example 7: Simplfiy. (4y4 – 6y2 + 4y – 1) (y – 2)-1

  10. Example 8

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