Question

9. Efetue as multiplicações entre polinômios:
a) (2x - 2). (x2 - 10x + 4) =
b) (x4 + 4x). (x3 - 2x2) =
c) (5x2 – 3) . (10x3 – 5x2 + x) =
d) (2x3 – 2x + 2) · (3x2 + 4x – 5) =
e) (3x2 – 3x + 4) . (5x4 + 2x3 – 1) =​

Answer 1

Resposta:

Explicação passo-a-passo:

a) (2x - 2). (x2 - 10x + 4) =

2x* (x2 - 10x + 4) - 2*(x2 - 10x + 4)

2x^2- 20x^2+8 - 4x + 20x -8

-16x^2 + 24x-8

b) (x4 + 4x). (x3 - 2x2) =

4x*(x3 - 4) + 4x*(x3 - 4)

12x²-16+12x²-16

8*(3x²-4)

c) (5x2 – 3) . (10x3 – 5x2 + x) =

(10 – 3) . (10x3 – 5x2 + x)

7 * (30 – 10 + x)

140+7x

d) (2x3 – 2x + 2) · (3x2 + 4x – 5) =

(8 – 2x ) · (1 + 4x)

8*(1+4x) - 2x*(1+4x)

8+32x-2x+8x²

8x²+30x+8

e) (3x2 – 3x + 4) . (5x4 + 2x3 – 1) =​

(10 – 3x) . (19 + 6- 1)

(10 – 3x) . 26

260 - 78x