• Uncategorized

Remainder Theorem: Characteristics of Remainders with Respect to Divisor

When solving problems regarding polynomial remainder theorem, there are things that we need take into account the characteristic of remainder with respect to the divisor.

Let P(x) be the Polynomial with degree n and D(x) be the divisor with degree r such that n and r is the elements of all positive integer and n>r>1. If P(x) is divided by D(x), the remainder R(x) has a degree of r-1.

Examples:

If the divisor is x-c, this is a binomial with degree 1. Then, the remainder must have a degree of 1-1=0. This can be written as Ax0 or A, a constant.

If the divisor is in the form of ax^2+bx+c, a quadratic in degree 2. The remainder must have a a degree of 2-1=1. A binomial in the form of Ax+c.

If the divisor has a degree of 4, the remainder is cubic.

 

Why do we need to know this?

This is for a problem solver or a student to increase their accuracy. There are questions in Polynomial remainder theorem that this technique is really helpful to quickly at the solution. Most of its application can be seen in Remainder theorem with 2nd degree divisor in this page.

 

 

 

Dan

Dan

Blogger and a Math enthusiast. Has no interest in Mathematics until MMC came. Aside from doing math, he also loves to travel and watch movies.
Dan

Latest posts by Dan (see all)

You may also like...

11 Responses

  1. Here is a great Blog You may Locate Interesting that we Encourage You
    rolex daytona acier occasion faux http://www.internationalwatches.ru/rolex-daytona-watch-replica-black-dial-goldplated-strap-for-men-p724/

  2. Good day! Would you mind if I share your blog with my facebook group? There’s a lot of people that I think would really enjoy your content. Please let me know. Cheers|
    bague cartier femme or imitation http://www.bestcalove.ru/fr/

  3. Scott Downey The KKK doesn’t give a fuck about the “betterment of all”–that’s the WHOLE POINT of their ideology.
    what size discount love bracelet http://www.accessoireslamode.in/en/cartier-pink-gold-love-bracelet-with-10-diamonds-replica-p124/

  4. To me beards make a guy look dirty and unsavory. Right away what comes to mind is one of those ’60s era biker movies with those denim and leather clad rebels terrorizing communities and their big, ugly bushy beards dangling from the actors’ chins. Another “beard thought” is the “unforgettable” Charles Manson. Get out your “mowers” guys and clean yourselves up!
    where can i buy cheap cartier love bangle http://www.thislovebangle.cn/

  5. By トリーバーチ サンダル on Jan 11, 2015

  6. I am regular reader, how are you everybody? This post posted at this web site is really pleasant.

  7. こんにちは簡単に素早く率い、あなたが数を知らせる|正しくロードされていない画像を写真はちょうどあなたに与えたいと思った。私はよく分からない理由が、私はそのリンクの問題だと思います。 私は2つの異なるでそれを試してみたし、両方が同じ結果。

  8. Youre so cool! I dont suppose Ive read anything in this way before. So good to uncover somebody with some original tips on this topic. realy appreciate starting this up. this excellent website is something that is necessary more than the internet, a person if we do originality. valuable function for bringing something new towards the web!

  9. Raisa Yonker says:

    I’m also writing to let you know of the cool experience my daughter had checking yuor web blog. She learned several issues, including what it’s like to possess an amazing giving mindset to get most people without difficulty fully understand chosen tortuous issues. You really exceeded people’s expected results. Thank you for churning out such great, safe, educational and also unique tips on the topic.

  10. Excellent publish from specialist also it will probably be a fantastic know how to me and thanks really much for posting this helpful data with us all.

Leave a Reply

Your email address will not be published. Required fields are marked *