Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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]
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.