Question

1) Oblicz iloczyn wielomianów S i R.

a) S(x)= 2x²+3x-5 R(x)=-x²+x+2

b) S(x)= 3x³+2x²+1 R(x)= -2x³+x-3

2) Wykonaj działanie:

a) 2(x-2)³-(2x-1)³

Answer 1

1)

 

a)

W(x)=(2x²+3x-5)(-x²+x+2)=

=-2x⁴+2x³+4x²-3x³+3x²+6x+5x²-5x-10=

=-2x⁴-x³+12x²+x-10

 

b)

W(x)= (3x³+2x²+1)(-2x³+x-3)=

=-6x⁶+3x⁴-9x³-4x⁵+2x³-6x²-2x³+x-3=

=-6x⁶-4x⁵+3x⁴-11x³-6x²+x-3

 

 

2)

 

a) 2(x-2)³-(2x-1)³=

=2(x³-6x²+12x-8)-(8x³-24x²+6x-1)=

=2x³-12x²+24x-16-8x³+24x²-6x+1=

=-6x³+12x²+18x-15