Question

Calcule os seguintes produtos de polinômio.

a) (x-2).(x+5)

b) (2x-4).(3x+1)

c) (x-1).(x²+x+1)

d) (a³-a²+a).(a+1)

e) (y-3).(y²+5y-2)

Answer 1

$a) \\ \\ (x - 2) \cdot (x + 5 ) \\ \\ x^2 +5x - 2x - 10 \\ \\ =\ \textgreater \ x^2 + 3x - 10$

===

$b) \\ \\ (2x - 4) \cdot (3x + 1 ) \\ \\ 6x^2 +2x -12x - 4 \\ \\ =\ \textgreater \ 6x^2 -10x - 4$

===

$c) \\ \\ (x - 1) \cdot (x^2 + x + 1) \\ \\ x^3 +x^2 + x - x^2- 1 \\ \\ =\ \textgreater \ x^3 +\not x^2 + \not x - \not x - 1 \\ \\ =\ \textgreater \ x^3 - 1$

===

$d) \\ \\ (a^3 - a^2 + a) \cdot (a + 1) \\ \\ a^4 + \not a^3 - \not a^3 -\not a^2 + \not a^2 + a \\ \\ =\ \textgreater \ a^4 + a$

===

$e) \\ \\ (y - 3) \cdot (y^2 + 5y - 2) \\ \\ y^3 + 5y^2 - 2y - 3y^2 -15y + 6 \\ \\ =\ \textgreater \ y^3 + 2y^2 -17y + 6$