Question

Resolvam as questões de polinômios:

1) Efetue as operações indicadas:
a) (2x3 – 3x2 + x – 1) + (5x3 + 6x2 – 7x + 3)
b) (– 8y2 – 12y + 5) + (7y2 – 8)
c) (2ax3 – 5a2x – 4by) + (5ax3 + 7a2x + 6by)
d) (a2 – b2) + (a2 – 3b2 – c) + (5c – 2b2 – a2)
e) (3y2 – 2y – 6) – (7y2 + 8y + 5)
f) (8x3 – 4x2 + 3x – 5) – (6x3 – 7x2 + 5x – 9)
g) (2x3 – 3x + 1) – (– 4x2 + 3)
h) (2x3 – 5x2 + 8x – 1) – (– 3x3 + 5x2 – 5x + 6)
i) (x2 – 5xy + y2) + (3x2 – 7xy + 3y2) – (4y2 – x2)

2) Efetue as multiplicações:
a) 3y(4x2 – 2x3 – 7)
b) (x4 – 3x2 – 5x + 1)(– 4x)
c) 2x(y2 + xy + 1)
d) 4ab(a2 + b2 – ab)
e) 4xy2(4x + y + 1)
f) (2x + 3)(5x – 1)
i) (4x3 + 2x – 3)(5x2 + x – 1)
j) (x2 – 2x + 5)(x3 – 3x2 + 6)

Answer 1

a)2x³+5x³-3x²+6x²+x-7x-1+3
7x³+3x²-6x-2
b)-8y²+7y²-12y+5-8
-y²-12y-3
c)2ax³+5ax³-5a²x+7a²x-4by+6by
7ax³-2a²x+2by
d)a²+a²-a²-b²-3b²-2b²-c+5c
a²-4b²-4c
e)3y²-7y²-2y-8y-6-5
-4y²-10y-11
f)8x³-6x³-4x²+7x²+3x-5x-5+9
2x³+3x²-2x+4
g)2x³+4x²-3x+1-3
2x³+4x²-3x-2
h)2x³+3x³-5x²-5x²+8x+5x-1-6
5x³-10x²+13x-7
i)x²+3x²+x²-5xy-7xy+y²+3y²
5x²-12xy+4y²
5x²+4y²-12xy
2)a)12x²y-6x³y-21y
6x³y+13x²y-21y
b)-4x5+4x³+20x²-4x
c)3xy²2x²y+2x
2x²y+3xy²+2x
d)4a³b+4ab³-4a²b²
e)16x²y²+4xy³+4xy²
4xy³+16x²y²+4y²
f)10x²-2x+15x-3
10x²-13x-3
g)20x5+4x⁴-4x³+10x³+2x²-2x-15x²-3x+3
20x5+4x⁴+10x³+2x²-15x²-2x-3x+3
20x5+4x⁴+10x³-13x²-5x+3
h)x5-3x⁴+6x²-2x⁴+3x³-12x+15x³+15x²+30
x5-3x⁴-2x⁴+3x³+15x³+6x²+15x²+30
X5+5x⁴+18x³+21x²+30