QUESTÕES DE VESTIBULARES  COM POLINÔMIOS
Autor: MARIA LUZIA | Publicado: 2016-09-06T03:08:00-07:00


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1) (UEL) Dividindo-se o polinômio&nbsp;x4&nbsp;+ 2x3&nbsp;-
2x2&nbsp;- 4x - 21 por x + 3, obtêm-se:


a) x³ - 2x² + x -12 com resto nulo;
b) x³ - 2x² + 3 com resto 16;
c) x³ - x² -13x + 35 e resto 84;
d) x³ - x² - 3x + 1com resto 2;
e) x³ - x² + x -7 e resto nulo;&nbsp;&nbsp;&nbsp;&nbsp; X

2. Considerando que p(x) = 2x³ – kx² + 3x – 2k, para que
valores de k temos p(2) = 4?&nbsp;
p(x) = 2x³ – kx² +
3x – 2k
p(2) = 4
2 . 2³ – k . 2² + 3 . 2 – 2k = 4
16 – 4k + 6 – 2k = 4
– 4k – 2k = – 16 – 6 + 4
– 6k = –18&nbsp;&nbsp;. (–1)
6k = 18
k = 3

Temos que o valor de k é igual a 3.



&nbsp;3. (Ita) A divisão de um polinômio P(x) por x²- x
resulta no quociente 6x²+5x+3 e resto -7x. O resto da divisão de P(x) por 2x+1
é igual a:

a) 1

b) 2

c) 3

d) 4

e) 5 &nbsp;&nbsp;X



4. (Cesgranrio)
O resto da divisão do polinômio P(x)=(x²+1)² pelo polinômio D(x)=(x-&nbsp; 1)² é igual a:

a) 2

b) 4

c) 2x -1

d) 4x -2

e) 8x -4&nbsp; X

&nbsp;Divisão de polinômio por polinômio
Subtração de polinômios.
Exercício resolvido multiplicação de polinômios&nbsp;