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Matematica C3 – Algebra 1 - itis magistri cumacini

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www.matematicamente.it - <strong>Matematica</strong> C 3 – <strong>Algebra</strong> 1 – 3. Calcolo letteraleEsegui le divisioni tra polinomi421 3 x 2 −5 x4 : 2 x−2 R.[ Q x= 3 2 x−1; R x=2 ]422 4 x 3 −2 x 2 2 x−4 : 3 x−1 [ Q x=4 3 x2 − 2 9 x16 ; R x=−9227 27]423 5a 3 −a 2 −4 : a−2 [Q x=5 a 2 9 a18; R x=32]424 6 x 5 −5 y 4 y 2 −1 :2 y 2 −3 [ Q x=3 y 3 − 5 2 y2 9 2 y− 13 4 ; R x= 27 43y−2 4 ]425 −7a 4 3a 2 −4a :a 3 −2 [Q x=−7 a; R x=a 2 −13a−4 ]426 x 7 −4: x 3 −2 x 2 3 x−7 [Q x= x 4 2 x 3 x 2 3 x17 ; R x=32 x 2 −30 x115]427 x 3 − 1 2 x2 −4 x 3 2 : x 2 3 x [ Q x=x− 7 2428 12 x 4 − 1 3 x3 1 4 x 2 −5 x 3 5 : 1 2 x3 [ Q x= x3 − 20 3 x 2 − 81 213; R x=2 x 3 2]x−253 ; R x=37985 ]429 6−7a3a 2 −4a 3 a 5 : 1−2a 3 [ Q x=2−1 2 a2 ; R x= 7 2 a2 −7 a4]430 (a 6 -1):(1+a 3 +2a 2 +2a) R. a 3 -2a 2 +2a-1431 a4 − 5 4 a3 11 8 a2 − a 2 : a2 − a 2 R. a 2 − 3 4 a1432 (2 x 5 – 11 x 3 + 2 x + 2 ) : ( x 3 – 2 x 2 + 1 )433 (15x 4 – 2x + 5) : (2 x 2 + 3)434 −9 2 x2 −2 x 4 1 2 x3 − 69 8 x− 9 4 − 4 3 x5 : −2x2 −3x− 3 4 435 5x 4 −12x 3 10x 2 −4x1 : 2x−2 R. [Q x= x 2 −2x1 ; R x=0 ]217

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