Question: 3.) The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm is as follows. Let X1, X2 be the roots of the polynomial x +

3.) The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm

3.) The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm is as follows. Let X1, X2 be the roots of the polynomial x + 3x + 1. Each letter of the plaintext is replaced with its position in the English alphabet (A is 1 and Z is 26). Then to every number the value of the polynomial f(x) = x + 3x + x4 +x? + 4x2 + 4x + 3 either at X or at x2 is added. After that the numbers obtained are replaced with letters. Recover the plaintext. Comment on your result! 3.) The following cryptogram has been received: ECGUCTUJKHV The encryption algorithm is as follows. Let X1, X2 be the roots of the polynomial x + 3x + 1. Each letter of the plaintext is replaced with its position in the English alphabet (A is 1 and Z is 26). Then to every number the value of the polynomial f(x) = x + 3x + x4 +x? + 4x2 + 4x + 3 either at X or at x2 is added. After that the numbers obtained are replaced with letters. Recover the plaintext. Comment on your result

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