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FACTORIZACIN DE POLINOMIOS

Solucin (1):

Solucin (2):

Solucin (3):

Solucin (4):

Solucin (5):

Solucin (6):

factor( (xK 1) $ (xK 2) $ (xK 3) K (xK 1) $ (2K x )C 1Kx );

(x K 3 ) (x K 1 )2

factor (x4 K 5 $ x3 K 2 $ x2 C 5 $ x C 1 ) ;

(x K 1 ) (x C 1 ) (x2 K 5 x K 1 )

factor ( (x C y )3

C 3xy $ (1KxKy )K1);

(K1 C x C y ) (x2 C 2 x yC x K 3 xy C y2 C yC 1 )

factor (a2 K a $ c2 K b $ c2 C 2 $ b2

C 3 $ a $ b ) ;

(aC b ) (aC 2 bK c2 )

factor (a6 K a4 C 2 $ a3K 4 $ a2 C 1 ) ;

(a3 C a2 K 2 aK 1) (a3 K a2 C 2 aK 1)

factor (2 $ a2b2 C 2$ a2c2

C 2$ b2c2K a4K b4K c4 ) ;

K (cC aC b ) (aC cK b ) (KbK cC a ) (aC bK c )

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Solucin (7):

Solucin (8):

Solucin (9):

Solucin (10):

Solucin (11):

Solucin (12):

factor (64 $ x12y3 K 68 $ x8y7

C 4$ x4y11 ) ;

4 x4 y3 (KyC x ) (KyC 2 x ) (yC 2 x ) (yC x ) (y2

C 4 x2 ) (y2 C x2 )

factor 04 $ a2b2 K (a2 C b2 K c2 )21;

K (cC aC b ) (aC cK b ) (KbK cC a ) (aC bK c )

factor (x4 K7 $ x2 y2 C y4 ) ;

(y2 C 3 x yC x2 ) (y2 K 3 x yC x2 )

factor (x5 C xK 1 ) ;

(x2 K x C 1 ) (x3 C x2 K 1 )

factor 0 (x2C xC1)2C3x2C3xK 151 ;

(x C 2 ) (x K 1 ) (x2 C x C 7 )

factor (x4 C 6x3 C 7x2 K 6x C 1 ) ;

(x2C3 xK1)2

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Solucin (13):

Solucin (14):

Solucin (15):

Solucin (16):

Solucin (17):

Solucin (18):

Solucin (19):

factor (a $ (b2 C c2 K a2 ) C b $ (c2

C a2K b2 ) ) ;

K (aC b ) (KcC aK b ) (cC aK b )

factor (6 $ x4 K 4 $ x3 K 3 $ x2

C 15$ xK 5);

(3 x2 K 5 x C 5 ) (2 x2 C 2 x K 1 )

factor (4 $ x5 C 8 $ x4 K 25 $ x3 K 20 $ x2

C 51 $ xK 18);

(x K 1) (2 x K 1) (2 x K 3) (x C 3) (x C 2)

factor (x5 C 2x3 C xK 1 ) ;

(x2 C x C 1 ) (x3 K x2 C 2 x K 1 )

factor (x6 C 2$x5 C 3 $ x4 C 4 $ x3 C 3$x2 C 2 $ x C 1 ) ;

(xC1)2 (x2C1)2

factor (x3 C x2 K x K 1 ) ;

(x K 1 ) (x C 1 )2

factor( (xK 3) $ (xK 2) $ (xK 1) C (xK 2) $ (xK 1)C 1 K x ) ;

(x K 3 ) (x K 1 )2

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Solucin (20):

Solucin (21):

Solucin (22):

Solucin (23):

Solucin (24):

Solucin (25):

Solucin (26):

factor (a2 C 2 $ aC a$ bC bC 1);

(aC 1) (aC 1C b )

factor ((xC 1)2K (yK 2)2

);

(x K 1C y ) (x C 3K y )

factor ( (xyC 1 )2K (xC y)2 );

K (x C xy C yC 1) (x K 1K xy C y )

factor (x10 C x8 C x6 C x4 C x2 C 1 ) ;

(x2 C 1 ) (x4 K x2 C 1 ) (x2 K x C 1 ) (x2 C x C 1 )

factor (x4 K 12 $ x3 C 49 $ x2 K 78 $ x C 40 ) ;

(x K 5) (x K 1) (x K 2) (x K 4)

factor (4 $ x4 K 13 $ x2 C 9 ) ;

(x K 1) (2 x C 3) (2 x K 3) (x C 1)

factor (2$ x4K 3$ x3K 1);

(x2 K x K 1 ) (2 x2 K x C 1 )

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Solucin (28):

Solucin (29):

Solucin (30):

Solucin (31):

factor( (xK 2) $ (xC 3) $ (xC 2) $ (xK 1)C 3);

(x2 C x K 3 ) (x2 C x K 5 )

factor (2x3 K x2 K xK 3 ) ;

(2 x K 3 ) (x2 C x C 1 )

factor (x4

C 2 $ x3 K 2 $ x K 1);

(x K 1 ) (x C 1 )3

factor (22$ yC 10$ x$yC 15C 3 $ x2 C 8 $ y2 C 14$x ) ;

(x C 2 yC 3) (3 x C 4 yC 5)