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 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.

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