SOLUTION: What are the factors of a polynomial with the following zeroes: {{{ -1 }}}, {{{ 2/3 }}}, {{{ 2 }}} A.) (x-1)(x+⅔)(x-2) B.) (x-1)(3x-2)(x-2) C.) (x+1)(x-⅔)(x+2) D

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: What are the factors of a polynomial with the following zeroes: {{{ -1 }}}, {{{ 2/3 }}}, {{{ 2 }}} A.) (x-1)(x+⅔)(x-2) B.) (x-1)(3x-2)(x-2) C.) (x+1)(x-⅔)(x+2) D      Log On


   



Question 1053751: What are the factors of a polynomial with the following zeroes: +-1+, +2%2F3+, +2+
A.) (x-1)(x+⅔)(x-2)
B.) (x-1)(3x-2)(x-2)
C.) (x+1)(x-⅔)(x+2)
D.) (x+1)(3x-2)(x-2)
Thanks

Found 2 solutions by ewatrrr, Boreal:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
D. (x+1)(3x-2)(x-2)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The values are the result of setting the factors equal to 0. They are opposite to the values given
so if (x+1)=0, a zero is -1.
x-(2/3)=0, or x=2/3 or 3x+2=0.
(x-2)=0
D is the answer. We don't use fractions in factorization, so while (x-(2/3)) is not mathematically wrong, (3x-2) is the factor.