Question

SOCORRO URGENTE PFV ME AJUDA!

Com os polinômios: F(x) = 4x^5+ 8x^3+ 5x+ 2, G(x) = 2x3 - 3x + x e H(x) = 7x^4- 3x^3- 9 determine:

a) I(x) = F(x) - G(x)
b)J(x) = F(x) - H(x)​

Answer 1

Oie, Td Bom?!

a)

$i(x) = f(x) - g(x)$

$i(x) = (4x {}^{5} + 8x {}^{3} + 5x + 2) - (2x {}^{3} - 3x + x)$

$i(x) = 4x {}^{5} + 8x {}^{3} + 5x + 2 - (2x {}^{3} - 2x)$

$i(x) = 4x {}^{5} + 8x {}^{3} + 5x + 2 - 2x {}^{3} + 2x$

$i(x) = 4x {}^{5} + 6x {}^{3} + 7x + 2$

b)

$j(x) = f(x) - h(x)$

$j(x) = (4x {}^{5} + 8x {}^{3} + 5x + 2) - (7x {}^{4} - 3x {}^{3} - 9)$

$j(x) = 4x {}^{5} + 8x {}^{3} + 5x + 2 - 7x { }^{4} + 3x {}^{3} + 9$

$j(x) = 4x {}^{5} + 11x {}^{3} + 5x + 11 - 7x {}^{4}$

$j(x) = 4x {}^{5} - 7x {}^{4} + 11x {}^{3} + 5x + 11$

Att. Makaveli1996

Answer 2

Explicação passo-a-passo:

a)

I(x) = 4x⁵ + 8x³ + 5x + 2 - (2x³ - 3x + x)

I(x) = 4x⁵ + 8x³ + 5x + 2 - 2x³ + 3x - x

I(x) = 4x⁵ + 8x³ - 2x³ + 5x + 3x - x + 2

I(x) = 4x⁵ + 6x³ + 7x + 2

b)

J(x) = 4x⁵ + 8x³ + 5x + 2 - (7x⁴ - 3x³ - 9)

J(x) = 4x⁵ + 8x³ + 5x + 2 - 7x⁴ + 3x³ + 9

J(x) = 4x⁵ - 7x⁴ + 8x³ + 3x³ + 5x + 2 + 9

J(x) = 4x⁵ - 7x⁴ + 11x³ + 5x + 11