A community for students.
Here's the question you clicked on:
 0 viewing
treydwg
 2 years ago
Can I factor this by grouping?
treydwg
 2 years ago
Can I factor this by grouping?

This Question is Closed

treydwg
 2 years ago
Best ResponseYou've already chosen the best response.0Can I factor this by grouping? 25b^2+10b+1?

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0Prime factors of 25 are 5 and 5 so we'll have (5x + a)(5x+b). Multiply that out and you get \[(5x+a)(5x+b) = 25x^2 + 5ax + 5bx + ab\] To make that look like your equation, a and b have to = 1.

rizwan_uet
 2 years ago
Best ResponseYou've already chosen the best response.125b^2+10b+1 multiply 25 with 1 you will get 25. now write 10 as the sum of two numbers such that the addition of those numbers result in 10 and the product of those numbers result in 25

treydwg
 2 years ago
Best ResponseYou've already chosen the best response.0I got b(5b+1) 1(b+1) but that does not look correct?

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0No, (5b+1)(5b+1) is what you want.

chmvijay
 2 years ago
Best ResponseYou've already chosen the best response.0(5b+1) and (5b+1) you correct it once again

treydwg
 2 years ago
Best ResponseYou've already chosen the best response.0t(4t+1)=0? I got t=0, 1/4

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Well, no one really did it the correct way.

rizwan_uet
 2 years ago
Best ResponseYou've already chosen the best response.125b^2+10b+1 25b^2 +5b+5b+1 5b(5b+1)+1(5b+1) (5b+1)(5b+1) (5b+1)^2

whpalmer4
 2 years ago
Best ResponseYou've already chosen the best response.0No, some of us did it in a way that shows why grouping works :)

chmvijay
 2 years ago
Best ResponseYou've already chosen the best response.025b25b+5b+1=0 5(5b+1)+1(5b+1)=0 (5b+1)2=0 5b+1=0 5b=1 b=1/5

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Yes, but you forgot to show the process, which is also important as well @whpalmer4. The question was "How do you factor by grouping?". Showing why it works is fine. Showing the process is equally important.
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.