SOLUTION: If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)?

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Question 977930: If x = 1 is a zero of the polynomial function f(x) = 3x3 − 8x2 + 3x + 2, which of the following is another zero of f(x)?
Found 3 solutions by Boreal, richwmiller, Cromlix:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
3x^3-8x^2+3x+2
If x=1 is a root, with synthetic division,
the quotient is a quadratic: (3x^2-5x-2)
(3x+1)(x-2)=0
x= -(1/3)
x=2 are the other roots. The question asked for another, so either one would be acceptable.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C3x%5E3-8x%5E2%2B3x%2B2%29

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Quotient is 3x^2-5x-2
(3x+1)(x-2)
2 and -1/3

Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
After you divide 3x3 − 8x2 + 3x + 2
by x = 1
3x^2 - 5x - 2 is left
(3x + 1)(x - 2) = 0
Further zeros of f(x):
x = -1/3
x = 2
Hope this helps:-)