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

Question

joannablackwelder · Answer

I would factor the polynomial, or use polynomial division.

tatumlee · Answer

Are you able to explain what these things are?

joannablackwelder · Answer

Sure. Factoring is easiest if the polynomial is a quadratic.

joannablackwelder · Answer

What kind of polynomials are you dealing with?

anonymous · Answer

if you get no remainder, then it is a factor
just like with whole numbers

tatumlee · Answer

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 · Answer

Ok, I can give you an example. Just a sec.

joannablackwelder · Answer

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joannablackwelder · Answer

We can write that as a polynomial division problem like this:

joannablackwelder · Answer

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