Question

factor 18x + 30 using the gcf; 3 ( 6x + 10); 6 ( 3x + 5); 2(9x + 15); 9 ( 2x + 3)

Explanation:

Step1: Find GCF of 18 and 30

List factors:
18: 1,2,3,6,9,18
30: 1,2,3,5,6,10,15,30
GCF = 6

Step2: Factor out GCF from each term

$18x + 30 = 6 \times 3x + 6 \times 5 = 6(3x + 5)$

Step3: Verify other options

Check if remaining terms have GCF:

• $3(6x+10)$: 6x+10 has GCF 2, not fully factored with overall GCF
• $2(9x+15)$: 9x+15 has GCF 3, not fully factored with overall GCF
• $9(2x+3)$: $9 \times 3=27

eq 30$, incorrect

Answer:

B. 6 ( 3x + 5)