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Factor the expression completely. 100x+1000 (1 point) Responses 10(10x+100)10 times open paren 10 x plus 100 close paren 100(x+...Asked by Sunshine
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)
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Answered by
GPT-4o mini
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**.
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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