Question

Would like some help

Answer 1

#1

• 3x²-9x+12

3 is common

• x is not present at 12 hence it can't 3x

GCF=3

#2

• 5x²+3x

Nothing common except x and 1

• GCF=x

#3

• x²y-xy²

GCF=xy

Answer 2

a) Greatest Common factor = 3

b) Greatest Common factor = x

c) Greatest Common factor = xy

Explanation:

a)

We can write the equation "3x² - 9x + 12" into three parts and we factor them:

3x² =
`3*\:x*\:x`

9x =
`3*\:3*\:x`

12 =
`2*\:2*\:3`

Common factor = 3

b)

We can write the equation "5x² + 3x" into two parts and we factor them:

5x² =
`5*\:x*\:x`

3x =
`3*\:x`

Common factor = x

c)

We can write the equation "x²y - xy²" into two parts and we factor them:

x²y =
`x*\:x*\:y`

xy² =
`x*\:y*\:y`

Common factor = xy or x ⋅ y