A community for students.
Here's the question you clicked on:
 0 viewing
tatumlee
 one year ago
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Can someone help me answer this question? Thank you
tatumlee
 one year ago
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Can someone help me answer this question? Thank you

This Question is Closed

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2I would factor the polynomial, or use polynomial division.

tatumlee
 one year ago
Best ResponseYou've already chosen the best response.0Are you able to explain what these things are?

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2Sure. Factoring is easiest if the polynomial is a quadratic.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2What kind of polynomials are you dealing with?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you get no remainder, then it is a factor just like with whole numbers

tatumlee
 one year ago
Best ResponseYou've already chosen the best response.0The unit I am working on is Rational Expressions and Functions and it's trying to show me how to divide polynomials, it doesn't say any kind of polynomial specifically

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2Ok, I can give you an example. Just a sec.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2dw:1432952759751:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2We can write that as a polynomial division problem like this:

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2dw:1432952827148:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2And we can divide in a similar way to regular division.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2dw:1432952897642:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2Does that make sense so far?

tatumlee
 one year ago
Best ResponseYou've already chosen the best response.0Yes it is starting to

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2dw:1432952978787:dw

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2Like @satellite73 said, when the remainder is 0, the binomial is a factor.

tatumlee
 one year ago
Best ResponseYou've already chosen the best response.0That makes better sense now, thank you for explaining those steps.

JoannaBlackwelder
 one year ago
Best ResponseYou've already chosen the best response.2You're welcome :)

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0IF the top and bottom have common factors then whatever makes the bottom equal zero will make the top go zero as well.

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0dw:1432953354604:dw when x=a, the top and bottom are both zeros

amistre64
 one year ago
Best ResponseYou've already chosen the best response.0dw:1432953486071:dw
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.