saturnpreshine
Answered

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felipesierra213

Answer:

a) Greatest Common factor = 3

b) Greatest Common factor = x

c) Greatest Common factor = xy

Step-by-step explanation:

a)

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

3x² =  [tex]3\times\:x\times\:x[/tex]

9x = [tex]3\times\:3\times\:x[/tex]

12 = [tex]2\times\:2\times\:3[/tex]

Common factor = 3

b)

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

5x² = [tex]5\times\:x\times\:x[/tex]

3x = [tex]3\times\:x[/tex]

Common factor = x

c)

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

x²y = [tex]x\times\:x\times\:y[/tex]

xy² = [tex]x\times\:y\times\:y[/tex]

Common factor = xy or x ⋅ y

#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

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