Question

Wykonaj działania:

a) W(x) - G(x) =

b) W(x)+ G(x) - H(x) =

c) 2(W(x) - G(x)) - 3H(x) =

d) W(x) × G(x) =

e) G(x) × H(x) =

W(x) = x² - 2x - 3

G(x) = x³ + 1

H(x) = x⁵ - x³ +2

Answer 1

W(x) = x² - 2x - 3

G(x) = x³ + 1

H(x) = x⁵ - x³ +2

 

a) W(x) - G(x) = x² - 2x - 3 - x³ - 1 = -x³ + x²- 2x - 4

 

b) W(x)+ G(x) - H(x) = x² - 2x - 3 + x³ + 1 - x⁵ + x³ - 2 = -x⁵+ 2x³ + x² - 2x - 4

 

c) 2(W(x) - G(x)) - 3H(x) =2(x² - 2x - 3 - x³ - 1) - 3( x⁵ - x³ +2) = 2x² - 4x - 6 - 2x³ - 2  -  3 x⁵ +3 x³ -6= 

                                              -3x⁵ + x³ + 2x² - 4x - 14

 

d) W(x) × G(x) =(x² - 2x - 3)(x³ + 1) = x⁵ + x³ - 2x⁴ - 2x - 3x³ - 3 = x⁵ - 2x⁴ - 2x³ - 2x - 3

 

e) G(x) × H(x) =(x³ + 1)(x⁵ - x³ +2) = x⁸ - x⁶ + 2x³ + x⁵ - x³ + 2 = x⁸ - x⁶ + x⁵ + x³ + 2