tatumlee
  • tatumlee
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
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
JoannaBlackwelder
  • JoannaBlackwelder
I would factor the polynomial, or use polynomial division.
tatumlee
  • tatumlee
Are you able to explain what these things are?
JoannaBlackwelder
  • JoannaBlackwelder
Sure. Factoring is easiest if the polynomial is a quadratic.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

JoannaBlackwelder
  • JoannaBlackwelder
What kind of polynomials are you dealing with?
anonymous
  • anonymous
if you get no remainder, then it is a factor just like with whole numbers
tatumlee
  • tatumlee
The 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
  • JoannaBlackwelder
Ok, I can give you an example. Just a sec.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432952759751:dw|
JoannaBlackwelder
  • JoannaBlackwelder
We can write that as a polynomial division problem like this:
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432952827148:dw|
JoannaBlackwelder
  • JoannaBlackwelder
And we can divide in a similar way to regular division.
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432952897642:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Does that make sense so far?
tatumlee
  • tatumlee
Yes it is starting to
JoannaBlackwelder
  • JoannaBlackwelder
:-)
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432952978787:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Like @satellite73 said, when the remainder is 0, the binomial is a factor.
tatumlee
  • tatumlee
That makes better sense now, thank you for explaining those steps.
JoannaBlackwelder
  • JoannaBlackwelder
You're welcome :-)
amistre64
  • amistre64
IF the top and bottom have common factors then whatever makes the bottom equal zero will make the top go zero as well.
amistre64
  • amistre64
|dw:1432953354604:dw| when x=a, the top and bottom are both zeros
amistre64
  • amistre64
|dw:1432953486071:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.