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