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Factor each polynomial expression and explain the factoring process used.

Factor each polynomial expression and explain the factoring process used.-example-1

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Answers:

b)
x(25x-1)

c)
x^(2)-4(x-3)

d)
4x(x-5)+25

e)
2(3x^(2)+11x+14)

Explanation:

b) We have the following expression:


25x^(2)-x

Applying common factor
x:


x(25x-1)

c) We have the following expression:


x^(2)-4x+12

Applying common factor
4:


x^(2)-4(x-3)

d)We have the following expression:


4x^(2)-20x+25

Applying common factor
4x:


4x(x-5)+25

e)We have the following expression:


6x^(2)+22x+28

Applying common factor
2:


2(3x^(2)+11x+14)

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