Please solve the following:

1. **Find the greatest common factor of** \(3x^2 - 15x^4\):
- A. \(x^2\)
- B. \(3x^2\)
- C. \(3x\)
- D. \(3x^4\)

2. **Find the greatest common factor of** \(24y^8 + 6y^6\):
- A. \(6y^6\)
- B. \(6y^8\)
- C. \(3y^2\)
- D. \(24y^8\)

3. **Find the greatest common factor of** \(14a^4 + 35a^9\):
- A. \(7a^9\)
- B. \(7a^4\)
- C. \(a^4\)
- D. \(7a\)

4. **Find the greatest common factor of** \(12xy^5 + 60x^4y^6 - 24x^3y^3\):
- A. \(3x^4y^5\)
- B. \(6xy^5\)
- C. \(6xy^2\)
- D. \(12xy^2\)

5. **Find the greatest common factor of** \(9a^3bc^2 + 12ac^4 + 15a^2b^3c\):
- A. \(9a^2b^2c^2\)
- B. \(3ac\)
- C. \(15a^3b^3c^4\)
- D. \(3abc\)

F in d t h e g re a t es t co mm o n f a c t or : 3 x 2 − 15 x 4 = 3 x 2 ( 1 − 5 x 2 ) A n s w er : B . 3 x 2
F in d t h e g re a t es t co mm o n f a c t or : 24 y 8 + 6 y 6 = 6 y 6 ( 4 y 2 + 1 ) A n s w er : A . \6 x 6
F in d t h e g re a t es t co mm o n f a c t or : 14 a 4 + 35 a 9 = 7 a 4 ( 2 + 5 a 5 ) A n s w er : B . \7 x 4
F in d t h e g re a t es t co mm o n f a c t or : 12 x y 5 + 60 x 4 y 2 − 24 x 3 y 3 = 12 x y 2 ( y 3 + 5 x 3 − 2 x 2 y ) A n s w er : D . \1 2 x y 2
F in d t h e g re a t es t co mm o n f a c t or :
9 a 3 b c 2 + 12 a c 4 + 15 a 2 b 3 c =
[3ac(3a^2 bc+4c^3+5ab^3) \ \
Answer : \ B. \ \ \ 3ac ]

Answered by Lilith | 2024-06-10

The greatest common factors for each expression are: 1) 3 x 2 , 2) 6 y 6 , 3) 7 a 4 , 4) 12 x y 2 , and 5) 3 ab c .
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Answered by Lilith | 2024-12-23