Transcription of พหุนาม - math.mut.ac.th
1 1 1. 4 2. 5 3. 10 4. 2 x, y, z 1. 4 x x x 4 4x+ 4x+ 4x+ 4 2.
2 5 y y y 5 5y 5y 5y 5 225, 10,4, 5 ,,,,10zxyxxyxy ++ 2x xx 2xxx= xy xy xyxy= 2xy xxy 2xyxxy= x 1x 11xxx= = 2x 2x 2 34xyxyx 3234xy 1x x 1x x 3253,4, 5.
3 2 , 6xxxy 3 031 3x = x 22535,2,6,5 3,104xxyx yyx + 5x 115155 5xxxx = = = x -1 232x x 23 256xy y (-5) 53xy+ 1 1 3
4 1. 3x 3 1 2. 2 3. 7 7 0 4. 32xyz 1 6 5. 0 0 - 0 0 00nx= n n 1. 2. 1. 3x 2x 9 2. 4 2 9 3. 22xy 22xy 4.
5 223xy 223xy 9 5. 26xy 26xz 6. 2013xy 312x 9 7. 23x 2x 9 = ( ) ( ) 4 1. 2234xx+ ()22347xx=+ = 2. 2268xyxy+()226814xyxy=+ = 3. 323235stst+()3232358stst=+ = 4. 24xx ()()()()2424 24 2xxxxx=+ = + = = 5. 22158xyxy ()2215 87xyxy= = 1. 443xx 2. 225xyxy 3. 64rtrt 4. 22105yy 1. 42x 2. 24xy 3. 2rt 4. 25y ( ) 22364 25xxxx ++ + 1 2 3 4 5 6 1 ()23x 4 ()2x 2 ()6x 5 ()2x 3 ()4 6 ()
6 5 22364 25xxxx ++ + 5 22364 25xxxx +++ 2236245xx x x=+ ++ ()()( )2316 24 5xx=++ ++ 2441xx= 1. 43242341052526xxx x xxx + ++ + ++ 44322324510256xxxxx xx= ++ + +++ ()()()( )4323241510256xxxx= + + + + + + + + ()()()()432144811xx xx= + + + + 43244811xxxx= + + + 43244811xxxx + + + 4 2.
7 222222223642xyxyyxyxyy++ + 222222223624xyxy xy xy yy= + ++ ()()()2222316 241xyxyy= + ++ ()()()2222245xyxyy=++ 2222245xyxyy=++ 2222245xyxyy++ 4 1. 234xx+ 32425xx + ()()23234 4 2 5xxxx+ + +32 242345xx x x=+ + + ()()32412 3 45xxx=+ + + + ()()324131xxx=+ + + 32431xxx= ++ 6 2. 2223xxyy + 22247xxyy+ ()( )222 223 247xxyyxxyy + + + 222 223247xxyyxxyy= +++ 222222437xxxyxyyy=+ + + ()()()22122 437xxyy=+ + + + ()()()2232 4xxyy=++ 22324xxyy=+ 1.
8 5 5 2. x x 3. xy+ ()xy + ()()xyxy= + = x x y y xy+ x y xy= / 1. 2x 2x 2. 5x ()55xx = + 3. 3st + ()33st st + = 4. ()2xx ()222xxxx = + 1. 4,2xx+ ()22xx = + ()( )42xx+ ()()42 426xxxx=++ += ++= 7 2. 323434, 52xxx xx ++ + 352xx + ()()32343452xxxxx ++ + ()()32343452xxxxx= +++ + 323434 52xxx xx= ++ + 33 243542xx x x x= +++ 2482xx= ++ 1.
9 ()()222431xxxx ++ + 2. ()()22323532xy xyxy xy + ++ 3. ()()322354232rtrtrrrtrt ++ 4. ()()3232524624xxxxx ++ + 1. 2332xx + 2. 2251xyxy + 3. 323rtrtr 4. 32342xx x ++ 1. ()4xx ()()()44xxxx x=+ = + ()2244xxx x=+ = ()4xx 244xxxx x= = 2. ()232xxy ()()()22323 2xxyxxxy=+ = + ()3322xxyxxy=+ = ()232xxy 233232xxx y x xy= = 3. ()()22xyxy+2232222xxyyxyx yxy= + = + 8 1. ()( )12xx+ ()()()21 2xxx= + ()21 1 2xx xx= + + ()()2222 212xxxxx= ++ =+ + 22xx= 2.
10 ()()xyab++ ()()xab yab xa xb ya yb=+ + + = + + + ax bx ay by=+++ 3. ()()xysrt++ ()()xsrt ysrt=+ + + sx rx tx sy ry ty=+ ++ 4. ()()32xyx yz + ()()232xxyz yxyz=+ + ()()23323xxx yx z yx y y y z= + + 222363xxy xzxyyyz=+ + 22236 3xxyxy xzyyz=+ + ()226233xyxyxzyz= + + 2263xyxyxzyz= + 1. ()()31xx+ 2. ()()213xx++ 3. ()()42xxy+ 4. ()()32214xx x + + 1. 223xx+ 2. 3233xxx+++ 3. 22248xyx xyx + 4. 532284xxxx+ ++ 9 A B 0B A B AB AB ( ) 23212xxxx += 232xx + 2x 1x ( ) 1.
