Math Questions With Answers (9)

Math Questions With Answers (9)

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 2x2 + x by x - 1.

Questions 2:

Use synthetic division to find the quotient Q and remainder R when dividing 4x3 + x2 - 2x + 3 by x + 2.

Questions 3:

Use synthetic division to find the quotient Q and remainder R when dividing 7x5 - 2x4 - 5x3 + x2 - 3x + 5 by x - 2.

Questions 4:

Use synthetic division to find the quotient Q and remainder R when dividing (1/2)x3 - (1/3)x2 - (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 x3 - 0.2x2 - 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) = 5x4 - 4x3 - x2 + 5

Questions 7:

Use synthetic division and the remainder theorem to determine f(1/2) given that f(x) = -3x5 + x3 - 2x2 + x - 3

Questions 8:

Use synthetic division and the remainder theorem to determine f(0.2) given that f(x) = 0.1 x3 - 0.6x2 - 0.6

Questions 9:

Use synthetic division to find the quotient Q and remainder R when dividing f(x) = x2 + 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) = x5 + x4 + x3 +2x - 5 by x + i. (i = SQRT(-1) the imaginary unit)

ANSWERS TO ABOVE QUESTIONS
1) Q = 2x + 3 , R = 3
2) Q = 4x2 - 7x + 12 , R = -21
3) Q = 7x4 + 12x3 + 19x2 + 39x + 75, R = 155
4) Q = (1/2)x2 - (1/2)x - 37/24 , R = -7/16
5) 0.3 x2 - 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 = x4 + (1 - i) x3 - ix2 - x + 2 + i , R = -2i - 4

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