Question

Sendo P(x)=3x^5+7x^4-12x^3-2x^2-13x-1 e G(x)=6x^5-9x^4-7x^3+2x^2-2x+4, logo faça: A) P(x)+G(x) B) P(x)-G(x)

Answer 1

P(x) = 3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1
G(x) = 6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4 
A)
(3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1) + (6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4) =
9x⁵ - 2x⁴ - 19x⁴ - 15x + 3 = P(x) + G(x)
B)
(3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1) - (6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4) =
(-3x⁵ + 16x⁴ + 5x³ - 4x² - 11x -5)

Answer 2

P(x) = 3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1
G(x) = 6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4 


A) P(x) + G(x) =

(3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1) + (6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4) =

9x⁵ - 2x⁴ - 19x⁴ - 15x + 3 

B) P(x) - G(x) =

(3x⁵ + 7x⁴ - 12x³ - 2x² - 13x - 1) - (6x⁵ - 9x⁴ - 7x³ + 2x² - 2x + 4) =

-3x⁵ + 16x⁴ + 5x³ - 4x² - 11x -5