Question: Solving a Polynomial Function after i have expanded it

April 27 2012 mag4112 5
0

I have to generate F(x) of a function with a degree of 5 who has zeros of x=2,x=1+3i,x=2-4i

After i put it into maple i use the command expand to give me the total function but afterwards i get this 144*i^4*x-25*i^2*x^3+x^5-288*i^4+118*i^2*x^2-8*x^4-188*i^2*x+25*x^3+104*i^2-38*x^2+28*x-8

i need to know what command can i use to get it to converts i^4 to 1 and i^2 to-1 that way i can truly simplify it. 

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