A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Factor:3x^24x20
anonymous
 3 years ago
Factor:3x^24x20

This Question is Closed

inkyvoyd
 3 years ago
Best ResponseYou've already chosen the best response.1Comon @mitchelsewbaran that doesn't help anyone. Give him a hint :)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what are the steps it took to get to that answer?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0One way to factor a trinomial like this is to follow the following steps. This method involves some guessing and trial and error. 1. Set up two sets of parentheses: ( )( ) 2. On the left side of each parentheses, write two factors of the first term, 3x^2. The factors of 3x^2 are 3x and x: (3x )(x ) 3. On the right side of the parentheses, write 2 factors of 20. Here's where you need to do some trial and error. The factors of 20 are: 20, 1 1, 20 4, 5 4, 5 2, 10 2, 10 In addition, each of those guesses can be placed two ways, for example, if you use 4 and 5, you can place them these ways: (3x + 4)(x  5) and (3x  5)(x + 4) How do you know which version works? Do OI of FOIL and add the two terms. Whichever choice of factors that gives you the middle term is the correct one. With (3x + 4)(x  5), OI is 15x + 4x = 11x (Doesn't work) With (3x  5)(x + 4), OI is 12x  5x = 7x (dosen't work. Let's try 2, 10 (3x + 2)(x  10) OI is 30x + 2x = 28x (doesn't work) (3x  10)(x + 2) OI is 6x  10x = 4x (Works!) Therefore, 3x^2  4x  20 = (3x  10)(x + 2) There is another method called factoring by parts that invloves less guessing. I can show you that too, if you're interested.
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.