SOLUTION: a. List all possible rational zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining
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Question 1204769: a. List all possible rational zeros. b. Use synthetic division to test the possible rational zeros and find an actual zero. c. Use the quotient from part (b) to find the remaining zeros of the polynomial function. f(x) = 2x^3 - 3x^2 - 11x + 6 Answer by greenestamps(13200) (Show Source):
(a) constant term 6; leading coefficient 2. The possible rational zeros are
ANSWER: (plus or minus) 1, 2, 3, 6; 1/2, 3/2
(b) evaluating the polynomial at the possible roots is faster than testing each root using synthetic division. f(3) = 2(27)-3(9)-11(3)+6 = 0, so 3 is a root. Use synthetic division to find the polynomial that remains after the root x=3 is removed.