Let K = Z5, the field of integers modulo 5. (You can read about fields in Chapter 1.8 of the textbook). Consider %3D the vector space P2 of polynomials of degree at most 2 with coefficients in K. Are the polynomials x + x + 3, 4x² + 2x + 4, and 4x + 1 linearly independent over Z5? linearly independent v If they are linearly dependent, enter a non-trivial solution to the equation below. If they are linearly independent, enter any solution to the equation below. (x2 + x + 3)+ 0 (4x2 + 2x + 4)+ 0 (4x + 1) = 0.

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