Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial. 6x^3 + 9x^2 ______

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Find GCF of coefficients: We need to find the greatest common factor (GCF) of the terms 6x^3 and 9x^2. To do this, we will look at the coefficients (6 and 9) and the variables (x^3 and x^2) separately. First, we find the GCF of the coefficients. The factors of 6 are 1, 2, 3, and 6. The factors of 9 are 1, 3, and 9. The greatest common factor of 6 and 9 is 3. Next, we look at the variable part. Since x^3 and x^2 both have x in common, we take the lowest power of x that appears in both terms, which is x^2. Combining the GCF of the coefficients and the variables, we get the overall GCF of 3x^2.Find GCF of variables: Now that we have the GCF, we can factor it out of the polynomial. We divide each term of the polynomial by the GCF to find the remaining factors. For the first term, 6x^3 divided by 3x^2 is 2x. For the second term, 9x^2 divided by 3x^2 is 3. So, the polynomial 6x^3 + 9x^2 factored by the GCF 3x^2 is 3x^2(2x + 3).

Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6x^3 + 9x^2$ $\newline$ ______

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Factor out the greatest common factor. If the greatest common factor is $1$ , just retype the polynomial. $\newline$ $6x^3 + 9x^2$ $\newline$ ______