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Find the complete factored form of the polynomial:

[tex]\[ 5b - 15c \][/tex]

Sagot :

GinnyAnswer
To factor the polynomial [tex]\( 5b - 15c \)[/tex] completely, follow these steps:

1. Identify the common factor:
Both terms in the polynomial [tex]\( 5b - 15c \)[/tex] contain a common factor of [tex]\( 5 \)[/tex].

2. Factor out the greatest common divisor (GCD):
Factor out [tex]\( 5 \)[/tex] from each term to simplify the polynomial. Divide every term by [tex]\( 5 \)[/tex]:

[tex]\[ 5b - 15c = 5(b) - 5(3c) \][/tex]

3. Write the polynomial in its factored form:
Now that we have factored out the [tex]\( 5 \)[/tex], we write the simplified expression within parentheses:

[tex]\[ 5(b - 3c) \][/tex]

Therefore, the completely factored form of the polynomial [tex]\( 5b - 15c \)[/tex] is:

[tex]\[ 5(b - 3c) \][/tex]
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