(Matematica) - Atividade de Polinômios PDF

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DEPARTAMENTO DE CIÊNCIAS EXATAS MATEMÁTICA FUNDAMENTAL POLINÔMIOS

f (x) = x3 + x2 + x + 1, d) f (x + 1)

b) f (0)

e) f (2x)

c) f (1)

f ) f (f (−1))

f (x) = ax3 + bx2 + cx + d {1, 2, 3, 4, 5} f (6)

f f (x) = 0

a) f (−3)

x

x

a b c d

f = (a − 2) x3 + (b + 2) x + (3 − c)

a b c a b c

x ax2 − bx − 5 = 3. 3x2 + 7x + c

f (x) = 7 − 2x + 4x2 g (x) = 5 + x + x2 + 5x3 h (x) = 2 − 3x + x4 (f + g) (x) (g − h) (x)

(h − f ) (x) f (x) = 2 + 3x − 4x2 g (x) = 7 + x2 h (x) = 2x − 3x2 + x3

(f g) (x) (gh) (x)

(hf ) (x) h (x)

h (x) = (x + 1) (x − 2) + (x − 2) (x − 1) + 4 (x + 1) 2

3

h (x) = (x + 2) + (2x − 1)

h (x)

2

2

2

f = (x − 1) + (x − 3) − 2 (x − 2) − 2 α, β ∈ R f (x) f (x − 1) , ∀x

f = x3 + αx + β

 2 g = x2 + x + 1 − x4 f (x)

f (1) = 0

f (x) =...