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5.3 Division of Polynomials

5.3 Division of Polynomials

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5.3 Division of Polynomials

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  1. 5.3 Division of Polynomials Concepts 1, 2, 3

  2. 5.3.1 Division by a Monomial • Example:

  3. Divide the polynomials.

  4. On your own…

  5. What if you are dividing by a polynomial? • The last method we did won’t work. • There are three ways to do this: • LONG DIVISION • SYNTHETIC DIVISION • FACTORING (we will cover next week)

  6. 5.3.2 Long Division • Number example • How do we divide 867 by four using long division? • Similar when using polynomials?

  7. Divide the polynomial using long division. CHECK: (divisor)(quotient)+(remainder) = what was divided

  8. Divide the polynomial using long division.

  9. Divide the polynomial using long division.

  10. Divide the polynomial using long division.

  11. Divide the polynomial using long division.

  12. Divide the polynomial using long division.

  13. 5.3.3 Synthetic Division • It is a shortcut way of doing long division. • Only works when divided by something in the form x – c • Set-up: • Degree is always one less than the original

  14. Divide the polynomial using synthetic division.

  15. Divide the polynomial using synthetic division.

  16. Divide the polynomial using synthetic division.

  17. Divide the polynomial using synthetic division.

  18. HOMEWORK FOR 5.3 • Pg. 338 – 340 • #10, 24, 32, 37, 44, 57