Common monomial factor

1. 6y - 18  = 6

2. ab² - 2b  = b

3. 5x² + 15  = 5

4. 6b⁴c⁵ + 30b⁵c⁴ = 6b⁴c⁴

5. 3x⁴ - 12x⁵ + 6  = 3

Other Factor

1. 6y - 18 = (y - 3)

2. ab² - 2b = (ab - 2)

3. 5x² + 15 = (x² + 3)

4. 6b⁴c⁵ + 30b⁵c⁴  = (c + 5b)

5. 3x⁴ - 12x⁵ + 6 = (x⁴ - 4x⁵ + 2)

Factored form

1. 6y - 18 = 6(y - 3)

2. ab² - 2b = b(ab - 2)

3. 5x² + 15 = 5(x² + 3)

4. 6b⁴c⁵ + 30b⁵c⁴ = 6b⁴c⁴(c + 5b)

5. 3x⁴ - 12x⁵ + 6 = 3(x⁴ - 4x⁵ + 2)

Step-by-step explanation:

Be discovered:

1. 6y - 18

2. ab² - 2b

3. 5x² + 15

4. 6b⁴c⁵ + 30b⁵c⁴

5. 3x⁴ - 12x⁵ + 6

Question:

Common monomial factor

Other Factor

Factored form

​Asked:

1. 6y - 18

The common factor of 6 and 18 is 6.

6y - 18

= 6(y - 3)

2. ab² - 2b

The common factor of ab² and 2b is b.

ab² - 2b

= b(ab - 2)

3. 5x² + 15

The common factor of 5x² and 15 is 5.

5x² + 15

= 5(x² + 3)

4. 6b⁴c⁵ + 30b⁵c⁴

The common factor of 6b⁴c⁵ and 30b⁵c⁴ is 6b⁴c⁴.

6b⁴c⁵ + 30b⁵c⁴

= 6b⁴c⁴(c + 5b)

5. 3x⁴ - 12x⁵ + 6

The common factor of 3x⁴, - 12x⁵ and 6 is 3.

3x⁴ - 12x⁵ + 6

= 3(x⁴ - 4x⁵ + 2)

From the description above, we can group:

Common monomial factor

1. 6y - 18 Common monomial factor = 6

2. ab² - 2b Common monomial factor = b

3. 5x² + 15 Common monomial factor = 5

4. 6b⁴c⁵ + 30b⁵c⁴ Common monomial factor = 6b⁴c⁴

5. 3x⁴ - 12x⁵ + 6 Common monomial factor = 3

Other Factor

1. 6y - 18 Other Factor = (y - 3)

2. ab² - 2b Other Factor = (ab - 2)

3. 5x² + 15 Other Factor = (x² + 3)

4. 6b⁴c⁵ + 30b⁵c⁴ Other Factor = (c + 5b)

5. 3x⁴ - 12x⁵ + 6 Other Factor = (x⁴ - 4x⁵ + 2)

Factored form

1. 6y - 18 = 6(y - 3)

2. ab² - 2b = b(ab - 2)

3. 5x² + 15 = 5(x² + 3)

4. 6b⁴c⁵ + 30b⁵c⁴ = 6b⁴c⁴(c + 5b)

5. 3x⁴ - 12x⁵ + 6 = 3(x⁴ - 4x⁵ + 2)

Learn More about

• The material about polynomial factors can also be seen here brainly.ph/question/161976
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