a/
x7+x2+1
= x7+x6+x5-x6-x5-x4+x4+x3+x2-x3-x2-x+x2+x+1
= x5(x2+x+1)-x4(x2+x+1)+x2(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x5-x4+x2-x+1)
b\
x10+x5+1
= x10+x9+x8-x9-x8-x7+x7+x6+x5-x6-x5-x4+x5+x4+x3-x3-x2-x+x2+x+1
= x8(x2+x+1) - x7(x2+x+1)+x5(x2+x+1)-x4(x2+x+1)+x3(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x8-x7+x5-x4+x3+x+1)
c\
x7+x5+1
= x7+x6+x5-x6-x5-x4+x5+x4+x3-x3-x2-x+x2+x+1
= x5(x2+x+1)-x4(x2+x+1)+x3(x2+x+1)-x(x2+x+1)+(x2+x+1)
= (x2+x+1)(x5-x4+x3-x+1)
d\
x5+x+1
= x5+x4+x3-x4-x3-x2+x2+x+1
= x3(x2+x+1)-x2(x2+x+1)+(x2+x+1)
= (x2+x+1)(x3-x2+1)
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