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)
The correct answer is: 100(x+10)
To factor the expression 100x + 1000 completely, you can start by finding the greatest common factor (GCF) of the terms, which is 100.
Then, you can factor out the GCF from each term:
100x can be written as 100 * x
1000 can be written as 100 * 10
Factoring out the GCF, the expression becomes:
100 * x + 100 * 10
Next, you can further simplify the expression by factoring out the common factor of 100:
100 * (x + 10)
Therefore, the completely factored expression is 100(x + 10).
To factor the expression "100x + 1000" completely, we need to find the greatest common factor (GCF) of the terms. In this case, both terms have a common factor of 100.
Step 1: Find the GCF
The GCF of 100x and 1000 is 100.
Step 2: Divide each term by the GCF
Dividing 100x by 100, we get:
100x / 100 = x
Dividing 1000 by 100, we get:
1000 / 100 = 10
Step 3: Write the factored form
Now, we can write the factored form using the GCF:
100x + 1000 = 100(x) + 1000
Simplifying further:
= 100(x + 10)
So, the fully factored form of the expression "100x + 1000" is:
100x + 1000 = 100(x + 10)