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c1(t+1) + c2(t^2 + 2) + c3(t^2 -t) = 0 for all t.

by specifying different values of t. I get

t=-1: 3c2 + 2c3=0

t=0: c1+2c2 =0

t=1:2c1 + 3c2 =0

How can I check that the only solution is c1=c2=cc3=0 ?

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# Vector spaces

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