- The greatest common factor of 20x² + 10x is 10x and the other factor is (2x + 1).
- The greatest common factor of 15y - 15 is 15 and the other factor is (y - 1).
- The greatest common factor of 28 - 4a is 4 and the other factor is (7 - a).
- The greatest common factor of 17x + 34 is 17 and the other factor is (x + 2).
- The greatest common factor of 35x - 5x² is 5x and the other factor is (7 - x).
- The greatest common factor of a³b² - a²b is a²b and the other factor is (ab - 1).
- The greatest common factor of 10x²y³ - 12xy² is 2xy² and the other factor is (5xy - 6).
- The greatest common factor of a³ - 5a² + 6a is a and the other factor is (a² - 5a + 6).
- The greatest common factor of 2x⁵ + 8x³ + 12x² is 2x² and the other factor is (x³ + 4x + 6).
- The greatest common factor of 3x³+ 9xy² + 12x²y is 3x and the other factor is (x² + 3y² + 4xy).
Step-by-step explanation:
Be discovered:
IA.
1. 20x² + 10x
2. 15y - 15
3. 28 - 4a
4. 17x + 34
5. 35x - 5x²
IB.
6. a³b² - a²b
7. 10x²y³ - 12xy²
8. a³ - 5a² + 6a
9.2x⁵ + 8x³ + 12x²
10. 3x³+ 9xy² + 12x²y
Question:
1: Give the greatest Common factor and the other factor or the quotient.
Asked:
IA.
1. 20x² + 10x
= 10x (2x + 1)
The greatest common factor of 20x² + 10x is 10x and the other factor is (2x + 1).
2. 15y - 15
= 15 (y - 1)
The greatest common factor of 15y - 15 is 15 and the other factor is (y - 1).
3. 28 - 4a
= 4 (7 - a)
The greatest common factor of 28 - 4a is 4 and the other factor is (7 - a).
4. 17x + 34
= 17 (x + 2)
The greatest common factor of 17x + 34 is 17 and the other factor is (x + 2).
5. 35x - 5x²
= 5x (7 - x)
The greatest common factor of 35x - 5x² is 5x and the other factor is (7 - x)
IB.
6. a³b² - a²b
= a²b (ab - 1)
The greatest common factor of a³b² - a²b is a²b and the other factor is (ab - 1).
7. 10x²y³ - 12xy²
= 2xy² (5xy - 6)
The greatest common factor of 10x²y³ - 12xy² is 2xy² and the other factor is (5xy - 6).
8. a³ - 5a² + 6a
= a (a² - 5a + 6)
The greatest common factor of a³ - 5a² + 6a is a and the other factor is (a² - 5a + 6).
9. 2x⁵ + 8x³ + 12x²
= 2x² (x³ + 4x + 6)
The greatest common factor of 2x⁵ + 8x³ + 12x² is 2x² and the other factor is (x³ + 4x + 6).
10. 3x³+ 9xy² + 12x²y
= 3x (x² + 3y² + 4xy)
The greatest common factor of 3x³+ 9xy² + 12x²y is 3x and the other factor is (x² + 3y² + 4xy).
Learn More about
- The material about polynomial factors can also be seen here brainly.ph/question/161976
- The material about polynomial factors can also be seen here brainly.ph/question/1537742
- The material on algebraic factoring can also be seen here brainly.ph/question/29232292
#SPJ1
