20分數學問題!Factorize the following polynomials
請教我點計! 二次方=*
6x*+5x+1
2y*+5y+2
回答 (6)
6x*+5x+1 = (2x+1)(3x+1)
2y*+5y+2 = (2y+1)(y+2)
------------------------------------------------------------------------
As you know (Ax+C)(Bx+D) = (AB)x* + (AD+BC)x + CD
So,
1st) think about the possible sets of A&B
2nd) think about the possible sets of C&D
Final) try & error to find the right A,B,C,D for AD+BC
------------------------------------------------------------------------
6x +5x+ 1
=6x(2) +5x +1
=36x +5x+ 1
=41x +1
2y* +5yx +2
=2y(2)+5y+ x2
=4y +5y +2
=9y +2
6x*+5x+1
=6xx+5x+1
=(3x)(2x)+3x+2x+1
=(3x+1)(2x)+3x+1
=(3x+1)(2x+1)+1-1
=(3x+1)(2x+1)
2y*+5y+2
=2yy+2y+2y+1y+2
=(2y)(1y)+2y+2y+1y+2
=(2y)(1y+2)+1y+2
=(2y+1)(1y+2)+2-2
=(2y+1)(1y+2)
參考: ME
係叫你恩式分解吧= ="(吳色english啊/口\
恩式分解有兩個方法 交叉相乘 同 計算機= =|
6x*+5x+1
=(3x+1)(2x+1)
2y*+5y+2
=(2x+1)(x+2)
注 : 廿一世紀,學校應該有教你用計算機架喎= =
2008-10-26 17:01:01 補充:
2y*+5y+2
=(2y+1)(y+2)
001 全錯啦= = 佢無睇倒係2次.....
002 都錯= ="
(x+1)(6x+1) 展開係 6x*+7x+1............
(y+2)(2y+2) 展開係2y*+6y+4............
參考: , 中5既頭腦@@
6xx + 5x +1
= 6xx + 6x - x+1
= 6x(x+1) - ( x+1)
= (x+1)(6x+1)
2yy + 5y +2
=2yy + 4y + y + 2
= 2y( y+2 ) + (y+2)
= (y+2)(2y+2)
6x +5x+ 1
=6x(2) +5x +1
=36x +5x+ 1
=41x +1
2y* +5yx +2
=2y(2)+5y+ x2
=4y +5y +2
=9y +2
參考: me
收錄日期: 2021-04-29 16:12:47
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20081026000051KK01314
檢視 Wayback Machine 備份