A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
find teh gcf and factor the expression. problem in comments. best answer and i will become a fan
anonymous
 4 years ago
find teh gcf and factor the expression. problem in comments. best answer and i will become a fan

This Question is Closed

kirbykirby
 4 years ago
Best ResponseYou've already chosen the best response.1The greatest common factor is the factor that is the largest present among all of your numbers. So: 4 has factors: 1, 2, 4 20 has factors: 1, 2, 4, 5, 10, 20 24 has factors: 1, 2, 3, 4, 6, 8, 12, 24 Which number is largest among all of them? 4 is! So you factor our the 4 from your expression. When you do you, you are essentially dividing out each term by 4 in the parentheses: \[4n^220n+24=4(n^25n+6)\]

kirbykirby
 4 years ago
Best ResponseYou've already chosen the best response.1Now, in order to factor it out even more, there is a way to do this: You find two numbers (say you call them a and b) such that a*b=6 (the middle number), and a+b=5 (the last number). You can think of a=2 and b=3 (Why? because a*b = (2)*(3)=6 and a+b=(2)+(3)=5) So once you have these 2 numbers a,b, you write down your factors as: (n+a)(n+b). This will the general form to write out your factors. Then just substitute the values of a and b: (n+(2))(n+(3)) = (n2)(n3) Now you had a 4 initially before the parentheses: so you get 4(n2)(n3)

kirbykirby
 4 years ago
Best ResponseYou've already chosen the best response.1You can always double check your by multiplying out your factors: 4(n2)(n3) = 4[n^23n2n+6] = 4[n^25n+6]=4n^220n+24
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.