A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
f(x)=x^3+4x^25x+6, I need to find the remainder when f(x) is divided by (x2). How can I do that?
anonymous
 3 years ago
f(x)=x^3+4x^25x+6, I need to find the remainder when f(x) is divided by (x2). How can I do that?

This Question is Closed

mathmale
 3 years ago
Best ResponseYou've already chosen the best response.0You could actually do the division (long division). Or you could use synthetic division: from the divisor (x2) we'd get divisor 2; from the function f(x), we'd get the coefficients 1, 4, 5 and 6. This synthetic division problem then becomes: 2  1 4 5 6 _______2__12_14_____ 1 6 7 20 and 20 is the remainder. I have little idea of where you're coming from, so why not indicate whether you'd prefer to do this problem using long division or using synthetic division; perhaps then I can guide you through more of either procedure.

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.2Or much easier way... Plug 2 in the place of in your f expression

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.2we can write f/(x2) as f(x)/(x2)=Q(x)+R/(x2) or f(x)=Q(x)*(x2)+R f(2)=Q(2)*(22)+R f(2)=Q(2)*(0)+R f(2)=0+R f(2)=R R represents remainder Q represents quotient

myininaya
 3 years ago
Best ResponseYou've already chosen the best response.2This is called the remainder theorem
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.