Ask a New Question
Menu

Factor the expression completely.

100x+1000
(1 point)
Responses

10(10x+100)
10 times open paren 10 x plus 100 close paren

100(x+10)
100 times open paren x plus 10 close paren

100(x+100)
100 times open paren x plus 100 close paren

1000(10x+1)

1 answer

To factor the expression \(100x + 1000\) completely, we can first identify the common factor in both terms.

  1. The expression \(100x + 1000\) can be rewritten as: \[ 100(x + 10) \]

This is because \(100\) is a common factor in both terms.

Now, let's see if \(100(x + 10)\) can be factored further. The expression \(x + 10\) does not have common factors that can be factored out further with \(100\).

So, the complete factorization of the expression is: \[ 100(x + 10) \]

Among the options provided, this matches:

  • 100(x + 10) (100 times open paren x plus 10 close paren)

Thus, the correct answer is: 100(x + 10).