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College Algebra & Trigonometry, 2018a

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2.7. SYNTHETIC DIVISION 131<br />

Exercises 2.7<br />

Use synthetic division to find the quotient in each problem.<br />

1)<br />

x 3 − 8x 2 +5x +50<br />

x − 5<br />

2)<br />

x 3 +5x 2 − x − 14<br />

x +2<br />

3)<br />

x 3 +12x 2 +34x − 7<br />

x +7<br />

4)<br />

x 3 − 10x 2 +23x − 6<br />

x − 3<br />

5)<br />

x 4 − 15x 2 +10x +24<br />

x +4<br />

6)<br />

x 4 − 3x 3 +4x 2 − 36<br />

x − 3<br />

7)<br />

x 4 − 2x 3 − x +10<br />

x − 2<br />

8)<br />

x 4 − 16x 2 − 5x − 24<br />

x +4<br />

9)<br />

2x 4 − x 3 +2x − 1<br />

2x − 1<br />

10)<br />

3x 4 + x 3 − 3x +1<br />

3x +1<br />

11)<br />

3x 4 − 8x 3 +9x 2 − 2x − 2<br />

3x +1<br />

12)<br />

6x 4 − 7x 3 +5x 2 − 17x +10<br />

3x − 2<br />

13)<br />

2x 3 +7x 2 +6x − 5<br />

2x − 1<br />

14)<br />

3x 4 − x 3 − 21x 2 − 11x +6<br />

3x − 1

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