Ayudantía 4 Mat002 - S1-2018.pdf

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Ayudantía 4 – MAT002 – UST 1) Si 𝑃(𝑥) = 𝑥 5 − 4𝑥 2 + 𝑥 3 − 4 y 𝑄(𝑥) = 𝑥 2 + 1. Determine el cuociente y resto para 𝑃(𝑥): 𝑄(𝑥).

2) Simplifique: 𝑥 3 + 3𝑥 2 + 3𝑥 + 1 𝑥 3 + 2𝑥 2 + 𝑥 3) Opere y simplifique: a) b)

3𝑥+1

3−1 ∙3𝑥

÷ (3𝑥−1)𝑥+1 (3𝑥 )𝑥−1 4 2−𝑥

3𝑥−5

÷( ) 4 𝑥+4 3

4) Opere y simplifique su resultado: a)

1 𝑥−1

+

b) (1 +

1



𝑥−3 1

𝑥−1 𝑥 2 −4𝑥+3 𝑥+1

)∙(

𝑥 2 −1

𝑥

)

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