Test the set of polynomials for linear independence. If it is linearly dependent, express one of...

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 the set is linearly dependent, enter your answer as an equation using the variables f, g, h, and j as they relate to the question.)

{f(x) = 1 − 7x, g(x) = 9x + x² − x³, h(x) = 1 + x² + 7x³, j(x) = 9 + 7x + 9x³} in ?₃

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