Question

1.Mając dane wielomiany :

W(x)= -x2 +5x-1

V(x)=2x2 +7x+1

Oblicz: W(x) + V(x)=

W(X) - V(X)=

4V(X) - W(X)=

2x2 * V(x)=

(5x2 - 4x) * (6x+ 3)=

Answer 1

 

W(x) + V(x)= -x2 +5x-1+2x2 +7x+1=x2+12x

W(X) - V(X)= -x2 +5x-1-(2x2 +7x+1)= -x2 +5x-1-2x2 -7x-1=-3x2-2x-2

4V(X) - W(X)=4(2x2 +7x+1)-( -x2 +5x-1)=8x2+28x+4+x2-5x+1=9x2+23x+5

2x2 * V(x)=2x2*(2x2 +7x+1)=4x4+14x3+2x2

(5x2 - 4x) * (6x+ 3)=30x3+15x2-24x2-12x=30x3-9x2-12x

Answer 2

x^2+5x-1+2x^2+7x+1=3x^2+12x

x^2+5x+1-2x^2-7x-1= -x^2-2x-2

4(2x^2+7x+1)-x^2-5x-1= 8x^8+28x+4-x^2-5x-1= 8x^8+23x+3

2x^2*(2x^2+7x+1)= 4x^4+14x^3+2x^2

=30x^3+15x^2-24x^2-12x= 30x^3-9x^2-12x