How would you rewrite the expression 6x+18x2

Question

by factoring out the GCF?(1 point)
Responses

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

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

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

6x (1x+3x)

Answer 1

To factor the expression \( 6x + 18x^2 \) by finding the greatest common factor (GCF), we first identify the common factors in each term.

The terms \( 6x \) and \( 18x^2 \) share a GCF of \( 6x \).

Now, we can factor \( 6x \) out of the expression:

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

So the correct rewritten expression is:

6x (1 + 3x).

This matches with the response:

6 x left parenthesis 1 plus 3 x right parenthesis.