determine o coeficiente q(x) e o resto r(x) das divisoes de p(x) por d(x):?

a)p(x) = 3x^3 - 2x^2 + x + 1 e d(x)=x-1

b)p(x) = x^5 - 4x^4 + 3 e d(x) = x+2

c)p(x) = 5x^2 - 3x - 1 d(x)= x +1

d)p(x) = x^5 - 1 e d(x)= x -1

Comments

  • a)

    d(x)=x-1

    x=1

    ...|..3...|.-2...|..1....|...1

    1.|..3...|..1...|..2....|...3

    Q(x)=3x²+x+2

    R(x)=3

    b)

    d(x)=x+2

    x=-2

    .....|..1...|.-4...|..0..|.0....|.0..|..3

    -2.|..1...|..-6..|.12.|.-24.|48.|.-93

    Q(x)=x^4-6x³+12x²-24x+48

    R(x)=-93

    c)

    d(x)=x+1

    x=-1

    .....|..5...|..-3...|..-1..|.

    -1.|..5...|..-8...|.7....|

    Q(x)=5x-8

    R(x)=7

    d)

    d(x)=x-1

    x=1

    ...|.1.|.0.|.0.|.0.|.0.|.-1.|

    .1|.1.|.1.|.1.|.1.|.1.|.0..|

    Q(x)=x^4+x³+x²+x+1

    R(x)=0

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