__Questions 1:__

Use synthetic division to find the quotient Q and remainder R when dividing 2x^{2} + x by x - 1.

__Questions 2:__

Use synthetic division to find the quotient Q and remainder R when dividing 4x^{3} + x^{2} - 2x + 3 by x + 2.

__Questions 3:__

Use synthetic division to find the quotient Q and remainder R when dividing 7x^{5} - 2x^{4} - 5x^{3} + x^{2} - 3x + 5 by x - 2.

__Questions 4:__

Use synthetic division to find the quotient Q and remainder R when dividing (1/2)x^{3} - (1/3)x^{2} - (3/2) x + 1/3 by x - 1/2.

__Questions 5:__

Use synthetic division to find the quotient Q and remainder R when dividing 0.3 x^{3} - 0.2x^{2} - 0.1 x + 0.3 by x - 0.2.

__Questions 6:__

Use synthetic division and the remainder theorem to determine f(-2) given that f(x) = 5x^{4} - 4x^{3} - x^{2} + 5

__Questions 7:__

Use synthetic division and the remainder theorem to determine f(1/2) given that f(x) = -3x^{5} + x^{3} - 2x^{2} + x - 3

__Questions 8:__

Use synthetic division and the remainder theorem to determine f(0.2) given that f(x) = 0.1 x^{3} - 0.6x^{2} - 0.6

__Questions 9:__

Use synthetic division to find the quotient Q and remainder R when dividing f(x) = x^{2} + 2x + 3 by x - i. (i = SQRT(-1) the imaginary unit)

__Questions 10:__

Use synthetic division to find the quotient Q and remainder R when dividing f(x) = x^{5} + x^{4} + x^{3} +2x - 5 by x + i. (i = SQRT(-1) the imaginary unit)

**ANSWERS TO ABOVE QUESTIONS**

1) Q = 2x + 3 , R = 3

2) Q = 4x^{2} - 7x + 12 , R = -21

3) Q = 7x^{4} + 12x^{3} + 19x^{2} + 39x + 75, R = 155

4) Q = (1/2)x^{2} - (1/2)x - 37/24 , R = -7/16

5) 0.3 x^{2} - 0.14 x - 0.128 , R = 0.2744

6) 113

7) 95/32

8) -0.6232

9) Q = x + 2 + i , R = 2 + 2i

10) Q = x^{4} + (1 - i) x^{3} - ix^{2} - x + 2 + i , R = -2i - 4

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