又係form4數
2006-10-27 6:59 am
writr down the highest possible degree of the remainder when a polynomial p(x) is divided by (x-1)(x+2).
回答 (2)
2006-10-27 7:41 am
✔ 最佳答案
the highest possible degree is 1it is because (x-1)(x+2) has a degree 2
so the highest possible degree = 2-1
if the dividend has a degree = 5
then the highest possible degree of remainder = 5-1 =4
you can try the some divisions using the long division and you will see why we have the degree n-1
2006-10-27 8:20 am
(x-1)(x+2)
= x^2 - x + 2x - 2
= x^2 + x - 2
Degree = 2
For highest degree og the remainder, it should be equal to:
Degree of divisor - 1
= 2 - 1
= 1
So the remainder should be either a constant or a linear algebraic expression.
= x^2 - x + 2x - 2
= x^2 + x - 2
Degree = 2
For highest degree og the remainder, it should be equal to:
Degree of divisor - 1
= 2 - 1
= 1
So the remainder should be either a constant or a linear algebraic expression.
參考: myself
收錄日期: 2021-04-12 22:51:08
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20061026000051KK05047