# Does the equation x^2 -= x * x -= 2x * 4x mod 7 show that factorization of polynomials mod 7 is not unique? Why or why not?

Does the equation ${x}^{2}\equiv x\cdot x\equiv 2x\cdot 4x\text{mod}7$ show that factorization of polynomials mod 7 is not unique? Why or why not?
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Fatema Sutton
Step 1
${x}^{2}\equiv x\cdot x\equiv 2x\cdot 4x\text{mod}7$
To show: factorization of polynomials mod 7 is not unique.
Other examples can be taken as
${x}^{2}\equiv 3x\cdot 5x\text{mod}7$
${x}^{2}\equiv 6x\cdot 6x\text{mod}7$
Step 2
From the above example it is clear that factorization of polynomials mod 7 is not unique as there are other factorization also.