zad 1
W(x)=4x³ - 2x² - x + 3
Q(x)=8x - 5
R(x)=x² + x + 2
3W(x)-2Q(x)*R(x)=
=3*(4x³ - 2x² - x + 3) - 2*(8x - 5)*(x² + x + 2)=
=12x³-6x²-3x+9 - 2*(8x³+3x²+11x-10)=
=12x³-6x²-3x+9 - 16x³-6x²-22x+20=
=-4x³-12x²-25x+29
===============
zad 2
W(x)=(2x - 1)³ + (1 - x) (3x - 2)²
W(x)=8x³-12x²+6x-1 + (1-x)(9x²-12x+4)
W(x)=8x³-12x²+6x-1 + 9x²-9x³-12x+12x²+4-4x
W(x)=-x³+9x²-10x+3
W(-√5)=-(-√5)³+9*(-√5)²-10*(-√5)+3=
=5√5+45+10√5+3=
=15√5+48
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zad 1
W(x)=4x³ - 2x² - x + 3
Q(x)=8x - 5
R(x)=x² + x + 2
3W(x)-2Q(x)*R(x)=
=3*(4x³ - 2x² - x + 3) - 2*(8x - 5)*(x² + x + 2)=
=12x³-6x²-3x+9 - 2*(8x³+3x²+11x-10)=
=12x³-6x²-3x+9 - 16x³-6x²-22x+20=
=-4x³-12x²-25x+29
===============
zad 2
W(x)=(2x - 1)³ + (1 - x) (3x - 2)²
W(x)=8x³-12x²+6x-1 + (1-x)(9x²-12x+4)
W(x)=8x³-12x²+6x-1 + 9x²-9x³-12x+12x²+4-4x
W(x)=-x³+9x²-10x+3
W(-√5)=-(-√5)³+9*(-√5)²-10*(-√5)+3=
=5√5+45+10√5+3=
=15√5+48