Answer:
The student took one factor wrong.
Step-by-step explanation:
We are given that,
The student factored the polynomial as given below,
[tex]x^2-100=(x-10)(x-10)[/tex]
i.e. [tex]x^2-10^2=(x-10)(x-10)[/tex]
Since, we know the property,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
So, the correct factorization is,
[tex]x^2-10^2=(x+10)(x-10)[/tex]
Thus, the student took one factor wrong.
