Find the greatest common factor in the following polynomials.

Question

4mn7 o 2 + 8n2 o+ 16mn3 o 2 + 12mn3 o 2 – 20mn2 o

- 3xy7 z + xyz3 + 2xyz3 + z

2ab5 - 12ab3 + 4ab2 + 18 b 2

3ab5 + 15ab3 + 5ab2 - 3ab2 - 5b

Answer 1

The greatest common factor is in bold.

1) 4mn⁷o² + 8n²o + 16mn³o² + 12mn³o² - 20mn²o

= 4*n² *o (mn⁵o + 2 + 4mno + 3mno - 5m) = 4n²o (mn⁵o + 7mno - 5m + 2)

2) -3xy⁷z + xyz³ + 2xyz³ + z = xyz (-3y⁶ + z² + 2z² + z) = xyz (-3y⁶ + 3z² + z)

3) 2ab⁵ - 12ab³ + 4ab² + 18b² = 2b² (ab³ - 6ab + 2a + 9)

4) 3ab⁵ + 15ab³ + 5ab² - 3ab² - 5b = b (3ab⁴ + 15ab² - 3ab - 5)