SOLUTION: How do you find the polynomial function of degree 3 with the zeros square root 3, negative square root 3, and 3? What are the steps to solving this?

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Question 519916: How do you find the polynomial function of degree 3 with the zeros square root 3, negative square root 3, and 3?
What are the steps to solving this?
Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find the polynomial function of degree 3 with the zeros square root 3, negative square root 3, and 3?
---
f(x) = (x-sqrt(3))(x+sqrt(3))(x-3)
----
f(x) = (x^2-3)(x-3)
----
f(x) = x^3-3x^2-3x+9
=========================
Cheers,
Stan H.

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
+a%2A%28x-3%29%2A%28x%2Bsqrt%283%29%29%2A%28x-sqrt%283%29%29+
, where a = a constant
.
Assume a = 1
.
+%28x%2Bsqrt%283%29%29%2A%28x-sqrt%283%29%29+=+x%5E2+-3+
.
+%28x-3%29%2A%28x%5E2-3%29+=+x%5E3+-3x+-3x%5E2+%2B9+=+x%5E3+-3x%5E2+-3x+%2B+9+
.
+graph%28500%2C500%2C-6%2C6%2C-12%2C12%2Cx%5E3+-3%2Ax%5E2+-3%2Ax+%2B9%29+