Question

Dados os polinômios P1(x) = 5x4 - 3x2+ 5x, P2 (x) = 3x3 + 8x2 - 9x + 3 e P3(x)= 2x + 3, P4(x) = 3x2 -
4x + 5, calcule:
a) P1(x) + P2(x) b) P1 (x) – P2(x) c) P3(x). P4 (x)​

Answer 1

a)

$5 {x}^{4} - 3 {x}^{2} + 5x + 3 {x}^{3} + 8 {x}^{2} - 9x + 3 \\ 5 {x}^{4} + 3 {x}^{3} + 5 {x}^{2} - 4x + 3$

b)

$5 {x}^{4} - 3 {x}^{2} + 5x - (3 {x}^{3} + 8 {x}^{2} - 9x + 3) \\ 5 {x}^{4} + 3 {x}^{2} + 5x - 3 {x}^{3} - 8 {x}^{2} + 9x - 3 \\ 5 {x}^{4} - 3 {x}^{3} - 11 {x}^{2} + 14x - 3$

c)

$(2x + 3)(3 {x}^{2} - 4x + 5) \\ 6 {x}^{3} - 8 {x}^{2} + 10x + 9 {x}^{2} - 12x + 15 \\ 6 {x}^{3} + {x}^{2} - 2x + 15$