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.Com
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)   (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
--------------
3rd degree polynomial:
f(x) = (-1/2)(x-1)(x-2)(x-3)
------------------------------
That polynomial satisfies the conditions.
=============================================
Cheers,
Stan H.

Answer by Alan3354(69443)   (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

RELATED QUESTIONS

Find a third–degree polynomial function such that f(0) = 18 and whose zeros are –1, 2,... (answered by robertb)
Find a third-degree polynomial function such that f(0) = 18 and whose zeros are -1, 2,... (answered by htmentor)
how to find a third degree polynomial function that f(-1)=3 and whose zeros are:1,2,and 3 (answered by josgarithmetic)
Find a third degree polynomial function f(x) with real coefficients that has -3,-2,and 2... (answered by jsmallt9)
Zeros of Functions Find an nth degree polynomial function with real coefficients such... (answered by Alan3354)
Form a third degree polynomial function with real coefficients such that -3+i and -2 are... (answered by solver91311)
Can you help me find a third degree polynomial with a polynomial function with real... (answered by Alan3354,greenestamps)
I need help please. I am having terrible difficulty in solving this problem.... (answered by tommyt3rd)
find a third degree polynomial with a polynomial function with real coefficients that has (answered by Alan3354)