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Q&A #6096

Teachers' Lounge Discussion: Basic operations on Polynomials

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From: Loyd

To: Teacher2Teacher Public Discussion
Date: 2006011310:17:27
Subject: Re: Help Please

On 2006010822:05:36, Heather wrote: > >Hi I really need a teacher to explain Division Of Polynomials. My >teacher does not explain it well at school. > Suppose someone wanted to divide x^2 + 7x+12 by x+3. x___+__4________ x+3 )x^2 + 7x + 12 x^2 +3x ----------- 4x + 12 4x + 12 ---------- 0 (remainder is zero) Ans is x + 4. This might not stay in alignment. So what we did is first divide x int x^2. It went x times. Then we multiplied back and got x^2 + 3x. We subtract and get 4x and then bring down the 12. Mulitply back and get 4x+12. The following is added just to help you understand with real numbers rather than the abstract x. _10_+_____4_____ 10+3 )10^2 + 7(10) + 12 10^2 +3(10) ----------- 4(10) + 12 4(10) + 12 ---------- 0 (remainder is zero) Ans is 10 + 4=14 Check: 100 + 70 + 12 =182. Divide by 13 and the answer is 14. Remember that to arrange in descending powers of x. So if you had 3x +6 + x^3 you would rearrange to: x^3 + 0x^2 +3x +6. Since there is no x^2 term, we represent it by 0x^2; that is an important step. I would suggest that you get a text book and work the examples in the book. Take a card to cover up the steps and go through each step one line at a time.

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