Question

Sendo
A(x)=x³ -x² +x-1
B(x)=x² -2x+1
C(x)=x² +x-2
D(x)=2x-1

Determine a soma e produto de polinômios
a) A(x)+B(x)
b) B(x)-C(x)
c) A(x)+C(x)-D(x)
d) B(x).D(x)
e) C(x).B(x)

Answer 1

Resposta:

A)(x3-x2+x-1)+(x2-2x+1)=

x3-x2+x2+x-1+1=x3+x

B)(x2-2x+1)-(x2+x-2)=

x2-x2-2x+x+1-2=-x-1

C)(x3-x2+x-1)+(x2+x-2)-(2x-1)=

x3-x2+x2+x+x-2x-1-2-1=x3-4

D)(x2-2x+1)*(2x-1)=

x2*2x+x2*(-1)-2x*2x-2x*(-1)+1*2x+1*(-1)=

2x3-x2-4x2+2x+2x-1=2x3-5x2+4x-1

E)(x2+x-2)*(x2-2x+1)=

x2*x2+x2*(-2x)+x2*1+x*x2+x*(-2x)+x*1-2*x2-2*(-2x)-2*1=

x4-2x3+x2+x3-2x2+x-2x2+4x-2=

x4-x3-3x2+5x-2