A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
One factor of 4x^3+15x^231x30 is x2. Find the other factors
anonymous
 4 years ago
One factor of 4x^3+15x^231x30 is x2. Find the other factors

This Question is Closed

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0You could use long division or synthetic division. Your choice.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well to start with you know that \[4x^2 \times (x2) = 4x^38x^2\] so just like you would do long division with numbers you can also do it with variables like this. so \[ 4x^315x^2 \bigg[4x^38x^2 \bigg]=7x^2\] you drop the 31x like long division to get \[7x^2 31x\] and then divide this by (x2) again \[7x\times (x2) = 7x^2 +14x\] and so on

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0sorry the \[15x^2 \] should be positive 15

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so \[4x^3+15x^2 \bigg[4x^38x^2 \bigg]=23x^2\] \[23x\times (x2) = 23x^246x\] \[23x^231x \bigg[23x^246x\bigg]=+15x\] \[15\times(x2)=15x30\] \[+15x30 \bigg[15x30 \bigg]=0\] so \[4x^3+15x^231x30 \to (x2)(4x^2+23x+15)\] and you can factor the rest... hopefully

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Explaining how to do long division or synthetic division is a real pain on open study, I would suggest you take the time outside of this to study it from a book with examples. Or go online and search for a youtube video. It isn't hard.
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.