A(x)= x³ +2x²-3 e b (x) =x²+x+1,
calcule :
a) A (x) + B (x)
b) A (x) - b (x)
c) B(x)- A (x)
d) A (x) . B (x)
Veja:
a) A (x) + B (x)=
x³ +2x²-3+x²+x+1=
x³+3x²+x-2
b) A (x) - b (x)=
x³ +2x²-3 -(x²+x+1)=
x³+2x²-3-x²-x-1=
x³+x²-x-4
c) B(x)- A (x)=
x²+x+1-(x³ +2x²-3)=
x²+x+1-x³-2x²+3=
-x³-x²+x+4
d) A (x) . B (x)=
(x³ +2x²-3).(x²+x+1)=
x^5+x^4+x³+2x^4+2x³+2x²-3x²-3x-3=
x^5+3x^4+3x³-x²-3x-3
a)x³+3x²+x-2
b)x³+x²-x-4
a) x³+3X²+x-3
b) x³+x²-x-4
c) -x³-x²+x+2
d) X5+3x4+2x³-x²-3x-3
Comments
Veja:
a) A (x) + B (x)=
x³ +2x²-3+x²+x+1=
x³+3x²+x-2
b) A (x) - b (x)=
x³ +2x²-3 -(x²+x+1)=
x³+2x²-3-x²-x-1=
x³+x²-x-4
c) B(x)- A (x)=
x²+x+1-(x³ +2x²-3)=
x²+x+1-x³-2x²+3=
-x³-x²+x+4
d) A (x) . B (x)=
(x³ +2x²-3).(x²+x+1)=
x^5+x^4+x³+2x^4+2x³+2x²-3x²-3x-3=
x^5+3x^4+3x³-x²-3x-3
a)x³+3x²+x-2
b)x³+x²-x-4
a) x³+3X²+x-3
b) x³+x²-x-4
c) -x³-x²+x+2
d) X5+3x4+2x³-x²-3x-3