Question

Question
How would you rewrite the expression 6x+18x2
by factoring out the GCF?(1 point)
Responses

3x (2+6x)
3 x left parenthesis 2 plus 6 x right parenthesis

6x (1x+3x)
6 x left parenthesis 1 x plus 3 x right parenthesis

6x (1−6x)
6 x left parenthesis 1 minus 6 x right parenthesis

6x (1+3x)

Answer 1

To find the greatest common factor (GCF) of the expression \(6x + 18x^2\), we first identify the common factors in both terms:

- The coefficients are 6 and 18. The GCF of 6 and 18 is 6.
- Both terms include \(x\), with the first term having \(x^1\) and the second term having \(x^2\). The GCF regarding \(x\) is \(x\).

Thus, the GCF of the entire expression \(6x + 18x^2\) is \(6x\).

Now, we factor out the GCF:

\[
6x + 18x^2 = 6x(1 + 3x)
\]

So, the expression \(6x + 18x^2\) rewritten by factoring out the GCF is:

**6x (1 + 3x)**

Therefore, the correct response is:

**6x (1 + 3x)**