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Factor the polynomial if possible. Otherwise write prime.​

Factor The Polynomial If Possible Otherwise Write Prime class=

Sagot :

Ninnyahhidn

Answer:

Problem 1

- Solution:

1. Factor out the greatest common factor, 6xy: 6xy(y - 2x)

- Final Answer: 6xy(y - 2x)

Problem 2

- Solution:

1. Factor out the greatest common factor, 2a: 2a(x + 5y + 5yz)

- Final Answer: 2a(x + 5y + 5yz)

Problem 3

- Solution:

1. Factor out the greatest common factor, 10: 10(x² - 4y²)

2. Recognize the difference of squares pattern: 10(x + 2y)(x - 2y)

- Final Answer: 10(x + 2y)(x - 2y)

Problem 4

- Solution:

1. Factor out the greatest common factor, 2: 2(4p³ - 2p² - p + 1)

2. Group the terms: 2[(4p³ - 2p²) + (-p + 1)]

3. Factor out the greatest common factor from each group: 2[2p²(2p - 1) - 1(2p - 1)]

4. Notice that the two binomials are the same. Factor out 2p - 1: 2(2p - 1)(2p² - 1)

- Final Answer: 2(2p - 1)(2p² - 1)

Problem 5

- Solution:

1. Group the terms: (3g + 3h) + (-5h + gh)

2. Factor out the greatest common factor from each group: 3(g + h) + h(-5 + g)

3. Notice that the two binomials are the same but in reverse order. Factor out g + h: (g + h)(3 + h)

- Final Answer: (g + h)(3 + h)

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