To factor the expression \(100x + 1000\) completely, we first look for the greatest common factor (GCF) of both terms.
The terms are:
- \(100x\)
- \(1000\)
The GCF of \(100x\) and \(1000\) is \(100\).
Now, we can factor out \(100\):
\[ 100x + 1000 = 100(x + 10) \]
Therefore, the completely factored form of the expression is:
\[ 100(x + 10) \]
So the correct response is:
100(x + 10) or 100 times open paren x plus 10 close paren.