SOLUTION: Hello me and my friend are having trouble finding the zeros of a polynomial function P(x)=2x(x^2+9)(x^2-2) we foiled everything out to P(x)=x^4+7x^2+2x-18 and then we trie

Question 671593: Hello me and my friend are having trouble finding the zeros of a polynomial function
P(x)=2x(x^2+9)(x^2-2)
we foiled everything out to P(x)=x^4+7x^2+2x-18
and then we tried finding our P/Q and using synthetic division to get a zero, but we couldn't get the right answer. The answer is supposed to be 0,+-sqrt(2)
Thanks in advance for the help.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!

take the square root
x^2+(7/2) = +-(11/2)
x^2= (11/2)-(7/2) OR (-11/2)-(7/2)
x^2=2 OR -9
x=sqrt(2),-sqrt(2), 0, 3i

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