(1 point) This question concerns the field GF(16). The modulus is P(x) = x + x...
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(1 point) This question concerns the field GF(16). The modulus is P(x) = x¹ + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + 1 and q(x) = x, what is p(x) + q(x) modulo P? b) If p(x) = x² and q(x) = x³ + x² + x, what is p(x) + q(x) modulo P? c) If p(x) = x² + x and q(x) = x³ + x² + x + 1, what is p(x) · q(x) modulo P? d) If p(x) = x² + x + 1 and q(x) = x³ + x, what is p(x) · q(x) modulo P? (1 point) This question concerns the field GF(16). The modulus is P(x) = x¹ + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x² + 1 and q(x) = x, what is p(x) + q(x) modulo P? b) If p(x) = x² and q(x) = x³ + x² + x, what is p(x) + q(x) modulo P? c) If p(x) = x² + x and q(x) = x³ + x² + x + 1, what is p(x) · q(x) modulo P? d) If p(x) = x² + x + 1 and q(x) = x³ + x, what is p(x) · q(x) modulo P?
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