Lecture synthetic division
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The document discusses synthetic division, providing 3 examples of dividing polynomials. The first example divides a polynomial by a monic linear divisor. The second divides a polynomial by a non-monic linear divisor. The third divides a polynomial by a monic quadratic divisor. Each example shows the division problem and solution.
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Lecture synthetic division
- 2. Example 1. The divisor is a monic (coeff. of highest power is 1) linear polynomial Divide : x x x by x 4 3 2 8 2 2 .
- 8. Divide : x x x by x 4 3 2 8 2 2 .
- 10. Example 2. The divisor is a linear (not monic) polynomial Divide : x x x by x 4 3 2 8 12 6 1 2 1 .
- 17. Divide : x x x by x 4 3 2 8 12 6 1 2 1 .
- 18. Example 3. The divisor is a monic quadratic polynomial Divide : x x x x by x x 4 3 2 2 3 2 9 8 2 .
- 25. Divide : x x x x by x x 4 3 2 2 3 2 9 8 2 .