SOLUTION: Please I need help with this problem. Find a third degree polynomial function such that f(0)=3 and whose zeros are 1, 2, and 3.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please I need help with this problem. Find a third degree polynomial function such that f(0)=3 and whose zeros are 1, 2, and 3.       Log On


   

Question 189962: Please I need help with this problem.
Find a third degree polynomial function such that
f(0)=3 and whose zeros are 1, 2, and 3.
Found 2 solutions by stanbon, Alan3354:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find a third degree polynomial function such that
f(0)=3 and whose zeros are 1, 2, and 3.
--------------------------
f(x) = a(x-1)(x-2)(x-3)
f(0) = a(-1)(-2)(-3) = 3
-6a = 3
a = -1/2
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3rd degree polynomial:
f(x) = (-1/2)(x-1)(x-2)(x-3)
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That polynomial satisfies the conditions.
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Cheers,
Stan H.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please I need help with this problem.
Find a third degree polynomial function such that
f(0)=3 and whose zeros are 1, 2, and 3.
-----------------
It's -(x-1)*(x-2)*(x-3)/2