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D. Exercises / Activities Activity 1: Give the greatest Common factor and the other factor or the quotient. Other Factor or the quotient L.A. Polynomials Greatest Common Factor 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 9.2x58x³ + 12x² 10. 3x39xy2 + 12x²y IC.
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Sagot :

Syubbana2idn
  1. The greatest common factor of 20x² + 10x is 10x and the other factor is  (2x + 1).
  2. The greatest common factor of 15y - 15 is 15 and the other factor is (y - 1).
  3. The greatest common factor of 28 - 4a is 4 and the other factor is (7 - a).
  4. The greatest common factor of 17x + 34 is 17 and the other factor is (x + 2).
  5. The greatest common factor of 35x - 5x² is 5x and the other factor is (7 - x).
  6. The greatest common factor of a³b² - a²b is a²b and the other factor is (ab - 1).
  7. The greatest common factor of 10x²y³ - 12xy² is 2xy² and the other factor is (5xy - 6).
  8. The greatest common factor of a³ - 5a² + 6a is a and the other factor is (a² - 5a + 6).
  9. The greatest common factor of 2x⁵ + 8x³ + 12x² is 2x² and the other factor is (x³ + 4x + 6).
  10. 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

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