Find the equation of the polynomial

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Homework Statement


Find the equation of the polynomial of degree 4 with zero's at -2, 2, 1, 1 and a leading coefficient of 1.


Homework Equations


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The Attempt at a Solution


I don't know how to attack this one, I'm sure if I could see how to do it I could do it myself byt my head isn't working right now. All I can gather from that information is the first bit is x ^ 4 - Which isn't much. I'm thinking I have to substitue the values for zero into an equation and solve simultaneously? Can anyone help?
 
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Noir said:
Find the equation of the polynomial of degree 4 with zero's at -2, 2, 1, 1 and a leading coefficient of 1.

Hi Noir! :smile:

Hint: factors :wink: