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# Jan. 8 Synthetic Division

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### Jan. 8 Synthetic Division

1. 1. January 13, 2010 Synthetic Division A Shortcut!!!!
2. 2. January 13, 2010 When the divisor is binomial in the form x ± a we can use synthetic division in place of long division 1. Arrange the dividends terms in descending order of power. 2. If your binomial is x - a we will use the positive value for a If your binomial is x + a we will use the negative value for a because is represents x -(-a) 3. Organize your value for a and the coefficients as follows a coefficients in descending order 4. Use an algorithm to solve for the quotient and remainder
3. 3. January 13, 2010 1. Arrange the dividends terms in descending order of power. 2. If your binomial is x - a we will use the positive We will use and example to value for a explain the algorithm If your binomial is x + a we will use the negative value for a because is represents x -(-a) 3 2 6x + 16x - 19x - 4 3. Organize your value for a and the coefficients as follows divided by a coefficients in descending order x-2 4. Use an algorithm to solve for the quotient and remainder
4. 4. January 13, 2010 Use synthetic division to find the quotient and if possible a remainder
5. 5. January 13, 2010 For each of the following find the quotient and if possible a remainder using both long and synthetic division methods, check to make sure you get the same answers 3 2 x + 2x - 5x - 6 ÷ (x - 3)
6. 6. January 13, 2010 For each of the following find the quotient and if possible a remainder using both long and synthetic division methods, check to make sure you get the same answers 4 3 (x - 2x +5x + 2) ÷ (x + 1)
7. 7. January 13, 2010 Assignment Ex 53 page 122 q4-7