More Math questions on synthetic division of polynomials are presented. Answers to these questions are located at the lower part of the page.

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