Wykonaj działania na wielomianach: a). (2-x)(x^2+3x-2)-(4x^3+2x^2+x)
b). (x^3+2x^2-3x-10)(x-2)
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a)
(2-x)(x^2 +3x -2) - (4x^3 +2x^2 +x) = 2x^2 +6x -4 -x^3-3x^2 +2x -4x^3 -2x^2 -x =
= -3x^2 +7x -5x^3 -4
b)
(x^3 +2x^2 -3x -10)( x-2) = x^4+2x^3 -3x^2-10x -2x^3 -4x^2+6x +20 = x^4 -7x^2-4x+20
zad. a/
(2-x)(x^2+3x-2) - (4x^3+2x^2+x)= 2x^2+6x-4-x^3-3x^2+2x-4x^3-2x^2-x=-5x^3-3x^2+7x-4
zad.b/
(x^3+2x^2-3x-10)(x-2)=x^4+2x^3-3x^2-10x-2x^3-2x^2+6x+20= x^4-5x^2-4x+20