Question

wykonaj działania na wielomianach

a)(3x²-4x³-2x+5)+2(-x²-5x+7)+(x³+3x²+8)

b)(x²+4x-3)·(5x-x²+x³-7)

c)(x³-3x²+3x-1)÷(x-1)

Answer 1

[3x²-4x³-2x+5]+2[-x²-5x+7]+[x³+3x²+8]=

3x²-4x³-2x+5-2x²-10x+14+x³+3x²+8=

-3x³+4x²-7x+27

 

[x²+4x-3][5x-x²+x³-7]=

5x³-x⁴+x⁵-7x²+20x²-4x³+4x⁴-28x-15x+3x²-3x³+21=

x⁵+3x⁴-2x³+16x²-43x+21

 

 

x³-3x²+3x-1:[x-1]=x²-2x+1

-x³+x²

................

=== -2x²+3x-1

+2x²-2x

......................

==== x-1

-x+1

.....................

==============

 

 

x³-3x²+3x-1=[x-1][x²-2x+1]

Answer 2

a)=3x²-4x³-2x+5+2-x²-5x+7+x³+3x²+8=

=5x²-3x³-7x+22

 

b)= 5x³-x⁴+x⁶-7x²+20x²-4x³+4x⁴-28x-15x+3x²-3x³+21=

=-2x³+3x⁴+x⁶+16x²-43x+21

 

c)=x³-3x²+3x-1+x-1=x³-3x²+4x-2