Question

Dados os polinômios:
A=x-2
B=x-3
C=x+1
D=x+5
Calcule os seguintes produtos
a) A.B b) B.C

c) A.B.C c) B.C.D

Answer 1

^ significa elevado

a) A · B =
(x - 2) · ( x -3) =
x^2 - 3x - 2x + 6 =
x^2 - 5x + 6

b) B · C =
(x - 3) · (x + 1) =
x^2 + x - 3x - 3 =
x^2 - 2x - 3

c)A · B · C =
(x - 2) · (x - 3) · (x - 1) =

(x - 2) · (x -3) =
x^2 - 3x - 2x + 6 =
x^2 -5x + 6

(x^2 - 5x + 6) · (x + 1) =
x^3 + x^2 - 5x^2 - 5x + 6x + 6 =
x^3 - 4x^2 + x + 6

d) B · C · D =
(x - 3) · (x + 1) · ( x + 5) =

(x - 3) · ( x + 1) =
x^2 + x - 3x - 3 =
x^2 - 2x - 3

(x^2 - 2x - 3) · (x + 5) =
x^3 + 5x^2 - 2x^2 - 10x - 3x - 15 =
x^3 + 3x^2 - 13x - 15