2.38. The multiplication table for the field F[x]/(x + x + 1) is given in Table 2.5, but we have omitted fourteen, entries. Fill in the missing entries. (This is the field described in Example 2.57. You can download and print a copy of Table 2.5 at www. math.brown.edu/-jhs/MathCrypto/Table2.5.pdf.) 0 F 1 2 1+= 1+x2 1+z+z 0 0 1 0 0 0 0 0 0 1+2 0 0 1 1+=+=' 1 2 0 A 2 1 0 1+=+=' P 1+2 14* 0 *+z 1+*+2 1+z 1+z2 0 1+ 1 2 1+x+z 1+# =+= 0 =+2 1+z 1 1+# F 1+=+= 0 1+a+a 1+x 1 22