SOLUTION: I need help on this: Find a polynomial equation of lowest degree with integer coefficients and has 0,3, and also plus/minus square root of 2 as zeros.

Question 33693: I need help on this:
Find a polynomial equation of lowest degree with integer coefficients and has 0,3, and also plus/minus square root of 2 as zeros.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Since the required polynomial has 4 zeros (roots) it has to be a 4th degree polynomial.
If x = 0 is a root, then x is a factor.
If x = 3 is a root, then x - 3 is a factor.
If x = (+-) are roots, then and is a factor.
Now we can get the equation by multiplying the known factors.

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