Division of Polynomials Homework Solutions Feb 19 th Assignment.

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Division of Polynomials Homework Solutions Feb 19 th Assignment

Long division x 2 – 7x ) x + 3 x 3 – 4x 2 – 19x + 9 x 3 + 3x 2 (change signs) - 7x 2 – 19x - 7x 2 – 21 x (change signs) 2x + 9 2x + 6 (change signs) 3 Synthetic Division x 2 – 7x x 2 x # R

Long division – ADD in the 0x 2 term 4x x ) x - 7 4x 3 + 0x 2 – 200x x x 2 (change signs) + 28x 2 – 200x + 28x 2 – 196x (change signs) -4x x + 28 (change signs) 0 Synthetic Division x x - 4 x 2 x # R

Long division 5x ) 2x x 2 – 9x x 2 – 15x (change signs) 8x + 7 8x – 12 (change signs) 19 Cannot do synthetic division with this problem.

Long division 4x 2 – 1x ) 2x + 3 8x x 2 – 13x x x 2 (change signs) -2x 2 – 13x -2x 2 – 3x (change signs) -10x x - 15 (change signs) -5 Synthetic Division cannot be done with this problem

Long division ADD in 0x 2 and 0x terms!!! x 2 + 9x ) x - 9 x 3 + 0x 2 + 0x x 3 - 9x 2 (change signs) 9x 2 + 0x 9x 2 – 81x (change signs) 81x x (change signs) 0 Synthetic Division x 2 + 9x + 81 x 2 x # R

Long division x 2 – 3x ) x - 4 x 3 – 7x x - 8 x 3 - 4x 2 (change signs) - 3x x - 3x x (change signs) 2x - 8 2x - 8 (change signs) 0 Synthetic Division x 2 – 3x + 2 x 2 x # R

Long division x 2 – 4x ) x + 2 x 3 – 2x 2 – 3x + 12 x 3 + 2x 2 (change signs) - 4x 2 - 3x - 4x 2 – 8x (change signs) 5x x + 10 (change signs) Synthetic Division x 2 – 4x x 2 x # R

Long division x ) x + 4 x 2 + 6x - 17 x 2 + 4x (change signs) 2x – 17 2x + 8 (change signs) -25 Synthetic Division x x # R

Long division 2x ) 3x - 5 6x 2 + 8x - 4 6x x (change signs) 18x – 4 18x - 30 (change signs) 26 Synthetic Divisioncannot be done with this problem

Long division x 2 + 3x ) x - 6 x 3 - 3x 2 – 23x + 30 x 3 - 6x 2 (change signs) 3x 2 – 23x 3x 2 – 18x (change signs) 5x x - 30 (change signs) 0 Synthetic Division x 2 + 3x + 5 x 2 x # R