Question

factor out the greatest common factor. \\(9x^2 + 90x + 18\\) \\(?(x^2 + 10x + 2)\\)

Explanation:

Step1: Find GCF of coefficients

Find GCF of 9, 90, 18. Factors of 9: 1,3,9; 90:1,2,3,5,6,9,10,15,18,30,45,90; 18:1,2,3,6,9,18. GCF is 9.

Step2: Factor out GCF

Divide each term by 9: $\frac{9x^2}{9}=x^2$, $\frac{90x}{9}=10x$, $\frac{18}{9}=2$. So $9x^2 + 90x + 18 = 9(x^2 + 10x + 2)$.

Answer:

9