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Question: the answers linearly independent and zero for all coefficients are...

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(1 point) Let K Z, the field of integers modulo 7. (You can read about fields in Chapter 1.8 of the textbook). Consider vector space P2 of polynomials of degree at most 2 with coefficients in K the Are the polynomials 4x2 +3x+3, 2x2 5x+4, and 5x225 lnearly independent over Z,? Choose If they are linearly dapendent, enter a non-trivial solution to the equation below. if they are linearly independent, enter solution to the equation below. (4x2 +3x+ 3)+ (2x2 +5x +4)+ (5x2 +2x+5)-0 The answers ‘linearly independent’ and zero for all coefficients are incorrect according to the system.
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