Consider the following where C C and c3 are constants 6 x c 6 x c3 6 x x 0 Find C C and C3 If a nontrivial solution exists state it or state the general solution in terms of the parameter t If only the trivial solution exists enter the trivial solution C C C3 0 0 0 C C C3 Consider the following f x 6 x g x 6 x h x 6 x x in P Test the set of polynomials for linear independence If it is linearly dependent express one of the polynomials as a linear combination of the others If the set is linearly independent enter INDEPENDENT If t set is linearly dependent enter your answer as an equation using the variables f g and h as they relate to the question