Question

How do you find the gcf of `6x^2 + 12x + 18y^2`?

Answer 1

gcf `=6x`

Explanation:

Prime factors of
`6x^2 = {color(red)(2),color(red)( 3), color(red)(x), x}`
`12x = {color(red)(2),2,color(red)(3),color(red)(x)}`
`18x^2 ={color(red)(2),color(red)(3),3,color(red)(x),x}`

Factors that occur in all 3 terms:
`{color(red)(2,3,x)}`

gcf (Greatest Common Factor):
`=2xx3xx x = 6x`