it is known that (1+x) is a factorof 1+3x+x2(二次方)-x3(三次方)
Make use of it to factorize 1+3x+x2-x3
2係二次方,3係三次方
唔該我想要埋解釋thank you very much~~
maths 問題(factorize)
2009-09-18 5:13 am
回答 (1)
2009-09-18 5:25 am
✔ 最佳答案
Use long division:1 + 2x - x2
----------------------
1 + x )1 + 3x + x2 - x3
1 + x
---------------------
2x + x2 - x3
2x + 2x2
---------------------
-x2 - x3
-x2 - x3
1 + 3x + x2 - x3
= (1 + x)(1 + 2x - x2)
or
1 + 3x + x2 - x3
= (1 + x) + 2x + x2 - x3
= (1 + x) + 2x + 2x2 - x2 - x3
= (1 + x) + 2x(1 + x) - x2(1 + x)
= (1 + x)(1 + 2x - x2)
收錄日期: 2021-04-23 23:25:07
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