greatest common factor - practice\nfactor each polynomial expression completely\n9. ( 36 v ^ { 4 } + 4 v ^ {…

greatest common factor - practice\nfactor each polynomial expression completely\n9. ( 36 v ^ { 4 } + 4 v ^ { 2 } + 8 v - 28 )\n10. ( 20 x ^ { 3 } y ^ { 2 } + 18 x ^ { 4 } - 10 x ^ { 3 } )\n11. ( 20 x ^ { 5 } - 60 x ^ { 3 } + 50 x ^ { 2 } )\n12. ( 18 r ^ { 2 } + 15 r ^ { 3 } - 6 r ^ { 5 } + 6 r ^ { 6 } )\n13. ( x ^ { 7 } y - 9 x ^ { 4 } y ^ { 2 } + 6 x ^ { 5 } y + 6 x ^ { 2 } y )\n14. ( - 56 x ^ { 2 } y ^ { 5 } z ^ { 2 } - 80 y z )\n15. ( - 81 h j ^ { 4 } - 45 h j ^ { 2 } k + 72 j ^ { 3 } - 9 j ^ { 2 } k )\n16. ( - 70 b ^ { 2 } c ^ { 2 } + 49 a b - 28 a ^ { 2 } b c )

greatest common factor - practice\nfactor each polynomial expression completely\n9. ( 36 v ^ { 4 } + 4 v ^ { 2 } + 8 v - 28 )\n10. ( 20 x ^ { 3 } y ^ { 2 } + 18 x ^ { 4 } - 10 x ^ { 3 } )\n11. ( 20 x ^ { 5 } - 60 x ^ { 3 } + 50 x ^ { 2 } )\n12. ( 18 r ^ { 2 } + 15 r ^ { 3 } - 6 r ^ { 5 } + 6 r ^ { 6 } )\n13. ( x ^ { 7 } y - 9 x ^ { 4 } y ^ { 2 } + 6 x ^ { 5 } y + 6 x ^ { 2 } y )\n14. ( - 56 x ^ { 2 } y ^ { 5 } z ^ { 2 } - 80 y z )\n15. ( - 81 h j ^ { 4 } - 45 h j ^ { 2 } k + 72 j ^ { 3 } - 9 j ^ { 2 } k )\n16. ( - 70 b ^ { 2 } c ^ { 2 } + 49 a b - 28 a ^ { 2 } b c )

Answer

Explanation:

Step1: Find the GCF of coefficients

For (36v^{4}+4v^{2}+8v - 28), the coefficients are (36), (4), (8), and (28). The GCF of (36), (4), (8), and (28) is (4).

Step2: Factor out the GCF

(36v^{4}+4v^{2}+8v - 28=4(9v^{4}+v^{2}+2v - 7))

Answer:

(4(9v^{4}+v^{2}+2v - 7))