SOLUTION: What is a cubic polynomial function in standard form with zeros 1, �2, and 2? Which one out of the following, 1) function= x3 + x2 � 3x + 4 2) function= x3 + x2 � 4x � 2 3) fun

Question 671876: What is a cubic polynomial function in standard form with zeros 1, �2, and 2?
Which one out of the following,
1) function= x3 + x2 � 3x + 4
2) function= x3 + x2 � 4x � 2
3) function= x3 + x2 + 4x + 4
4) function= x3 � x2 � 4x + 4
PLEASE HELP!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
x = 1, x = -2 or x = 2

x - 1 = 0, x + 2 = 0 or x - 2 = 0

(x - 1)(x + 2)(x - 2) = 0

(x - 1)(x^2 - 4) = 0

x(x^2 - 4) - 1(x^2 - 4) = 0

x^3 - 4x - x^2 + 4 = 0

x^3 - x^2 - 4x + 4 = 0

So the function is f(x) = x^3 - x^2 - 4x + 4, which is choice 4)
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