How would you rewrite the expression 6x+18x2 by factoring out the GCF?(1 point) Responses 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) 6 x left parenthesis 1 plus 3 x right parenthesis 3x (2+6x)

1 answer

To factor the expression \(6x + 18x^2\) by finding the greatest common factor (GCF), we first identify the GCF of the two terms.

The terms are:

  • \(6x\)
  • \(18x^2\)

The GCF of \(6x\) and \(18x^2\) is \(6x\).

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

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

So the correct factored form of the expression is:

\[ 6x(1 + 3x) \]

Thus, the answer is: 6x (1 + 3x)