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)
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)
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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