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Najla┐ Maslouhy
Najla┐ Maslouhy

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http://ad2math.voila.net/ adnanemath@gmail.com ??? ???? ??? .??? Page 1 ??? ?????? ???? ??? ???1: ???? ?????? ???: ( )2 2 P(x) 4x 2 4x 9 3 9 32 2Q(x) 1 2x 4 x 1x x 16 5 25 4 3 2K(x) x 1x x 4 2H(x) 12x x = + + ? ? ?? ? ? ?? ? = ? + ? ? +? ?? ? ? ?? ? ? ?? ? ? ?? ? = ? ? + = ? ? ( ) ( ) ( ) 25 52A(x) 15x 9 3x 7 x 3 5x 6x 4 2 2 2B(x) 3x 3 7 3 21xx 4C(x) 16x 5 4 3 2D(x) x 1x x x x ? ? = ? + + ? ? ? +? ? ? ? = ? ? ? = + = + + + + + ???2: ??? ???? ??? ???P(x)???Q(x)??? ??? ???? ??? ??? ?????????: 1(5 3 5 2 5 2 3P(x) 2 4 x 2 ??? Q(x) 2 4 xx x x x x x x= + ? + ? + = + + + ?. 2( 1 3 15 3 5 3P(x) 4 x 2 ??? Q(x) 2 4 xx x x x 21 3 ? ?? = + ? + = + + ?? ?? ?+ ? ? . 3(( )2 3 5 2 5 2 3P(x) 2 2x x 2 ??? Q(x) 2 4 xx x x x x x x= + ? + ? + = + + + +. 4(3 5 2 5 2 3P(x) 4 x 2 ??? Q(x) 2 4 xx x x x x x= ? + ? + = + + + ?. ???3: ( ) ( ) ( )5 3 2P(x) a b b c 2a c 1x x x= ? + + + ? + ??? ???? ??? ???a???b???c???? ??? ???P(x). ???4: ??? ??? ??? ???? ??? ???P(x)Q(x)??? ??? ??? ???: 1(5 3 2P(x) 2 4 x 2 ??? Q(x) x 1x x x= + + ? + = + 2(5 3 2P(x) 2 4 5 x 2 ??? Q(x) x 1x x x= + + ? + = + 3(4 3 2P(x) 2 4 x 2 ??? Q(x) x 1x x x= ? + ? + = ? 4(2P(x) 3 4x 15 ??? Q(x) x 3x= + ? = + 5(5 3P(x) 4 5 2 ??? Q(x) x 2x x= ? + = ? ???5: ???? ???3 2P(x) 2 5x 6x x= + ? ?. 1(???? ??? ???1???(-2)???(-3)???2???? ????P(x). 2(???? ???Q(x)P(x) (x 2)Q(x)= ????? ?. 3( ???-???? ???(-3)???? ???Q(x). ???-P(x)??? ??? ???? ???. ???-IR??? ???P(x) 0−. ???6: ???? ???3 2P(x) 2 8x 4x x= ? ? + +. 1(???? ??? ???Q(x)P(x) (x 2)Q(x)= +???? ?. 2(???? ??? 1 2 ? ? ?? ? ? ? ???? ???Q(x). 3(????P(x)??? ??? ????. 4(??? ??? ??? ???3 22 8x 4x x? ? + = ?IR.
http://ad2math.voila.net/ adnanemath@gmail.com ??? ???? ??? .??? Page 2 ???7: ???? ???( ) 3 33 2P(x) 7 1 7 xx x 2 2 ? ? = + ? + ? ?? ?? ? ? ? . ???? ??? ???Q(x)P(x) (x 1)Q(x)= ????? ?. ???8: ???? ???3 2P(x) 2 5x 6x x= ? ? +. 1(???? ??? ????P(x)???( )x 1?. 2(??? ??? ???P(x)??? ????. 3(IR??? ???:P(x) < 0. 4(???? ???2x 2 10?? <??? ??? ??? P(x) x 2+ 22 10?〜. ???9: ???? ???4 3 2P(x) 5 3x 6x x x= ? + + ? ?. 1(???P(2)???P(-1)??? ???P(x). 2(IR??? ???:P(x) − 0. 3(IR +??? ???:x? x x 5x 3 x 6 0? + + ? ? =. 4(IR??? ???:( ) ( ) ( ) ( )4 3 2 x 2 x 2 5 x 2 3 x 2 6 0? + ? ? ? + ? + =. ???10: ???? ???P(x) = 2x6 C 7x4 + 7x2 C2 1(???( )P(1) ??? P 2. 2(a????????? ??? ????? ??? ?a??? ????P(x)???(-a)??? 1 a ??? ???P(x). 3(??? ???P(x)??? ??? ???. 4(IR??? ???:P( x ) − 0. ???11: ????? ???3 2P(x) ax bx x 1= + + + ???a???b???? ?????1???2???? ??? ???. ???12: ???? ??? ???P(x)???:P(-1)=4???P(1)=3???P(2)=4. ???13: 1(???? ???P(x)??? ??? ???P(x+1) C P(x) = x ???n??? ???S = 1+2+3+4+...+n 2(???? ???P(x)??? ??? ???P(x+1) C P(x) = x? ???n??? ???S = 1+2?+3?+4?+...+n? 3(???? ???P(x)??? ??? ??? ???P(x+1) C P(x) = x3 ???n??? ???S = 1+23+33+43+...+n3 ???14: ??? ???? ??? ???P(x)???:( ) ( )x 8 P(2x) 8 x 1 P(x)? = ????? ??? ??? ???? ????.

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  • 1. http://ad2math.voila.net/ adnanemath@gmail.com ??? ???? ??? .??? Page 1 ??? ?????? ???? ??? ???1: ???? ?????? ???: ( )2 2 P(x) 4x 2 4x 9 3 9 32 2Q(x) 1 2x 4 x 1x x 16 5 25 4 3 2K(x) x 1x x 4 2H(x) 12x x = + + ? ? ?? ? ? ?? ? = ? + ? ? +? ?? ? ? ?? ? ? ?? ? ? ?? ? = ? ? + = ? ? ( ) ( ) ( ) 25 52A(x) 15x 9 3x 7 x 3 5x 6x 4 2 2 2B(x) 3x 3 7 3 21xx 4C(x) 16x 5 4 3 2D(x) x 1x x x x ? ? = ? + + ? ? ? +? ? ? ? = ? ? ? = + = + + + + + ???2: ??? ???? ??? ???P(x)???Q(x)??? ??? ???? ??? ??? ?????????: 1(5 3 5 2 5 2 3P(x) 2 4 x 2 ??? Q(x) 2 4 xx x x x x x x= + ? + ? + = + + + ?. 2( 1 3 15 3 5 3P(x) 4 x 2 ??? Q(x) 2 4 xx x x x 21 3 ? ?? = + ? + = + + ?? ?? ?+ ? ? . 3(( )2 3 5 2 5 2 3P(x) 2 2x x 2 ??? Q(x) 2 4 xx x x x x x x= + ? + ? + = + + + +. 4(3 5 2 5 2 3P(x) 4 x 2 ??? Q(x) 2 4 xx x x x x x= ? + ? + = + + + ?. ???3: ( ) ( ) ( )5 3 2P(x) a b b c 2a c 1x x x= ? + + + ? + ??? ???? ??? ???a???b???c???? ??? ???P(x). ???4: ??? ??? ??? ???? ??? ???P(x)Q(x)??? ??? ??? ???: 1(5 3 2P(x) 2 4 x 2 ??? Q(x) x 1x x x= + + ? + = + 2(5 3 2P(x) 2 4 5 x 2 ??? Q(x) x 1x x x= + + ? + = + 3(4 3 2P(x) 2 4 x 2 ??? Q(x) x 1x x x= ? + ? + = ? 4(2P(x) 3 4x 15 ??? Q(x) x 3x= + ? = + 5(5 3P(x) 4 5 2 ??? Q(x) x 2x x= ? + = ? ???5: ???? ???3 2P(x) 2 5x 6x x= + ? ?. 1(???? ??? ???1???(-2)???(-3)???2???? ????P(x). 2(???? ???Q(x)P(x) (x 2)Q(x)= ????? ?. 3( ???-???? ???(-3)???? ???Q(x). ???-P(x)??? ??? ???? ???. ???-IR??? ???P(x) 0−. ???6: ???? ???3 2P(x) 2 8x 4x x= ? ? + +. 1(???? ??? ???Q(x)P(x) (x 2)Q(x)= +???? ?. 2(???? ??? 1 2 ? ? ?? ? ? ? ???? ???Q(x). 3(????P(x)??? ??? ????. 4(??? ??? ??? ???3 22 8x 4x x? ? + = ?IR.
  • 2. http://ad2math.voila.net/ adnanemath@gmail.com ??? ???? ??? .??? Page 2 ???7: ???? ???( ) 3 33 2P(x) 7 1 7 xx x 2 2 ? ? = + ? + ? ?? ?? ? ? ? . ???? ??? ???Q(x)P(x) (x 1)Q(x)= ????? ?. ???8: ???? ???3 2P(x) 2 5x 6x x= ? ? +. 1(???? ??? ????P(x)???( )x 1?. 2(??? ??? ???P(x)??? ????. 3(IR??? ???:P(x) < 0. 4(???? ???2x 2 10?? <??? ??? ??? P(x) x 2+ 22 10?〜. ???9: ???? ???4 3 2P(x) 5 3x 6x x x= ? + + ? ?. 1(???P(2)???P(-1)??? ???P(x). 2(IR??? ???:P(x) − 0. 3(IR +??? ???:x? x x 5x 3 x 6 0? + + ? ? =. 4(IR??? ???:( ) ( ) ( ) ( )4 3 2 x 2 x 2 5 x 2 3 x 2 6 0? + ? ? ? + ? + =. ???10: ???? ???P(x) = 2x6 C 7x4 + 7x2 C2 1(???( )P(1) ??? P 2. 2(a????????? ??? ????? ??? ?a??? ????P(x)???(-a)??? 1 a ??? ???P(x). 3(??? ???P(x)??? ??? ???. 4(IR??? ???:P( x ) − 0. ???11: ????? ???3 2P(x) ax bx x 1= + + + ???a???b???? ?????1???2???? ??? ???. ???12: ???? ??? ???P(x)???:P(-1)=4???P(1)=3???P(2)=4. ???13: 1(???? ???P(x)??? ??? ???P(x+1) C P(x) = x ???n??? ???S = 1+2+3+4+...+n 2(???? ???P(x)??? ??? ???P(x+1) C P(x) = x? ???n??? ???S = 1+2?+3?+4?+...+n? 3(???? ???P(x)??? ??? ??? ???P(x+1) C P(x) = x3 ???n??? ???S = 1+23+33+43+...+n3 ???14: ??? ???? ??? ???P(x)???:( ) ( )x 8 P(2x) 8 x 1 P(x)? = ????? ??? ??? ???? ????.