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
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