Question

Resolva as multiplicações de polinômios pela propriedade distributiva da multiplicação:

a) (x-4) . (x+8) =
b) (x+3) . (x-5) =
c) (x²+8) . (x+15) =
d) (ax²+4) . (ax-6) =
e) (b+5) . (b+6) =

2. Resolva as Divisões de Polinômios:

a) (12x³y²-3xy) ÷ (3xy)

b) (48a²b³+12a³b) ÷ (4a²b)

c) (36x³y³a+16x³y) ÷ (4xy)

d) (15x²y²-25x³y²) ÷ (5x²y²)

e) (9a²b³-3a³b²) ÷ (3ab)

Answer 1

1.

a) (x-4) . (x+8) =

x.x + x.8 -4.x -4.8 =

x² + 8x -4x -32 =

x² +4x -32 = 0

b) (x+3) . (x-5) =

x.x + x.-5 +3.x +3.-5 =

x² -5x +3x -15 =

x² -2x -15 = 0

c) (x²+8) . (x+15) =

x².x +x².15 +8.x +8.15 =

x³ +15x² +8x +120 = 0

d) (ax²+4) . (ax-6) =

ax².ax +ax².-6 +4.ax +4.-6 =

a²x³ -6ax² +4ax -24 = 0

e) (b+5) . (b+6) =

b.b + b.6 +5.b +5.6 =

b² +6b +5b +30 =

b² +11b +30 = 0

...

2.

a) 12x³y² -3xy |_3xy_

-12x³y² 4x²y -1

----------

0 -3xy

+3xy

----------

0

b) 48a²b³ +12a³b |_4a²b_

-48a²b³ 12b² +3a

-----------

0 +12a³b

- 12a²b

------------

0

c) 36x³y³a +16x³y |_4xy_

-36x³y³ 9x²y² +4x²

-----------

0 +16x³y

- 16x³y

-----------

0

d) 15x²y² -25x³y² |_5x²y²_

-15x²y² 3 -5x

---------

0 -25x³y²

+25x³y²

-------------

0

e) 9a²b³ -3a³b² |_3ab_

-9a²b³ 3ab² -1a²b

---------

0 -3a³b²

+2a³b²

------------

0