Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
If you pay attention 2 goes into 8, 10, & 12 and it looks like they all have one C. So what do you think it is lol?(:
Answer:
1. C. 2c
2. [tex]3d^2(2d^2+3d-4)[/tex]
Step-by-step explanation:
A. We have been given an expression and we are asked to find the GCF of our given expression.
[tex]8c^3+12c^2+10c[/tex]
Let us find factors of each of our given terms.
Factors of [tex]c^3[/tex] are [tex]c*c*c[/tex],
Factors of [tex]c^2[/tex] are [tex]c*c[/tex],
We can see that c is the greatest common factor of [tex]c^3[/tex], [tex]c^2[/tex] and [tex]c[/tex].
Factors of 8 are: 1, 2, 4, 8.
Factors of 12 are: 1, 2, 3, 4, 6, 12.
Factors of 10 are: 1, 2, 5, 10.
The greatest common factor of 8,12 and 10 is 2.
So let us factor out 2c from our expression.
[tex]2c(4c^2+6c+5)[/tex]
Therefore, the greatest common factor of our given expression is 2c and option C is the correct choice.
2. We have been given a polynomial and we are asked to factor our given polynomial.
[tex]6d^4+9d^3-12d^2[/tex]
We will pull out the greatest common factor of the terms of our given polynomial.
We can see that GCF of [tex]d^4[/tex], [tex]d^3[/tex] and [tex]d^2[/tex] is [tex]d^2[/tex].
The GCF of 6, 9 and 12 is 3.
So let us factor out [tex]3d^2[/tex] from our polynomial.
[tex]3d^2(2d^2+3d-4)[/tex]
Therefore, the factored form of our given polynomial is [tex]3d^2(2d^2+3d-4)[/tex].
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
