Math Questions With Answers (9): Polynomial Division
More Math questions on synthetic division of polynomials are presented. Answers to these questions are located at the lower part of the page.
Question 1Use synthetic division to find the quotient Q and remainder R when dividing the polynomial2x^{2} + x by x  1.
Question 2Use synthetic division to find the quotient Q and remainder R when dividing the polynomial4x^{3} + x^{2}  2x + 3 by x + 2.
Question 3Use synthetic division to find the quotient Q and remainder R when dividing the polynomial7x^{5}  2x^{4}  5x^{3} + x^{2}  3x + 5 by x  2.
Question 4Use synthetic division to find the quotient Q and remainder R when dividing the polynomial(1/2)x^{3}  (1/3)x^{2}  (3/2) x + 1/3 by x  1/2.
Question 5Use synthetic division to find the quotient Q and remainder R when dividing the polynomial0.3 x^{3}  0.2x^{2}  0.1 x + 0.3 by x  0.2.
Question 6Use synthetic division and the remainder theorem to determine f(2) given that f(x) = 5x^{4}  4x^{3}  x^{2} + 5
Question 7Use synthetic division and the remainder theorem to determine f(1/2) given that f(x) = 3x^{5} + x^{3}  2x^{2} + x  3
Question 8Use synthetic division and the remainder theorem to determine f(0.2) given that f(x) = 0.1 x^{3}  0.6x^{2}  0.6
Question 9Use synthetic division to find the quotient Q and remainder R when dividing f(x) = x^{2} + 2x + 3 by x  i. (i = √(1) the imaginary unit)
Question 10Use 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 = √(1) the imaginary unit)
ANSWERS TO ABOVE QUESTIONS
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