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Determine whether the set {P?, P?, P?} is linearly independent in P?, where p? = 2+x+3x + 4x, p? = 4 + 3x + 2x

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Determine whether the set {P?, P?, P?} is linearly independent in P?, where p? = 2+x+3x² + 4x³, p? = 4 + 3x + 2x² + x³ and p? = 1 + 2x + 3x² + 4x³. Show all working.

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