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Matematica C3 – Algebra 1 - itis magistri cumacini

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www.matematicamente.it - <strong>Matematica</strong> <strong>C3</strong> – <strong>Algebra</strong>1 – 5. Scomposizioni e frazioniScomponi in fattori i seguenti polinomi utilizzando il teorema di Ruffini219 2x 2 −5x2220 3x 2 −5x−2221 x 3 −4x 2 x6222 x 3 2x 2 −9x−18223 2x 3 −3x 2 −8x12224 x 4 −x 3 −5x 2 −x−6225 x 3 2x 2 −2x3226 x 3 x 2 −5 x3227 2x 3 −9x 2 7x6228 3x 3 5x 2 −16x−12229 2x 3 5x 2 5x3230 2 x 3 −13 x 2 24 x−9231 6x 3 −11 x 2 −3x2232 4 x 4 −4 x 3 −25 x 2 x6233 x 3 −9 x−9x 2 R. x1x3 x−3234 m 3 2 m 2 −m−2 R. [m−1m1 m2]235 a 3 a 2 −4 a−4 R. [a1 a−2 a2 ]236 3 a 2 a−2 R. [a1 3 a−2 ]237 6 a 3 −a 2 −19 a−6 R. [a−23a1 2 a3 ]238 x 3 −5x 2 8x−4 R. x−1 x−2 2239 3 t 3 −t 2 −12 t 4 R. [t 2t −2 3 t−1 ]240 3 x 4 x 3 −29 x 2 −17 x42 R. [x2x3 x5 2 x 2 −4 x3]241 y 4 y 3 −3 y 2 −4 y−4 R. [ y2 y−2 y 2 y1]242 t 4 −8t 2 −24 t −32 R. [t 2 t −4 t 2 2 t4 ]243 2 x 5 16 x 4 25 x 3 −34 x 2 −27 x90 R. [x2x3 x5 2 x 2 −4 x3]244 x 5 − x 4 −4 x 3 −5 x 2 −9 x18 R. [x2x3 x5 2 x 2 −4 x3]245 x 4 2 x 3 −3 x 2 −4 x4 R. [x−1 2 x2 2 ]246 a 5 3a 4 −2a 3 −9a 2 −11a−6 R. a1a−2a3 a 2 a1247 2x 5 16x 4 19x 3 −94x 2 −213x−90 R. x2 x3 x5 2x 2 −4x−3248 6 x 2 −7 x+ 2 R. (2 x−1)(3 x−2)249 3 x 3 + x 2 + x−2 R. (3 x−2)(x 2 + x+ 1)250 2 x 3 + x 2 + 2 x+ 1 R. (2 x+ 1)(x 2 + 1 )251 3 x 3 + 9 x− x 2 −3 R: (3 x−1)(x 2 + 3)252 1+ 5 x+ 6 x 2 + 4 x 3 + 8 x 4253 a 6 6a 4 11a 2 6 sostituisci a 2 = x R. a 2 1a 2 2 a 2 3254 2x 2n x n −3 sostituisci x n =a R. x n −12x n 3255 x 3 −ax 2 −2ax2a 2 cerca le radici tra i monomi divisori di 2a 2259

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