a)[latex]W(x)=-9x^3-18x^2+x+2=-9x^2(x+2)+(x+2)=(x+2)(-9x^2+1)=\=-9(x+2)(x^2-frac{1}{9})=-9(x+2)(x-frac{1}{3})(x+frac{1}{3})[/latex] b)[latex]W(x)=-3x^3-4x^2+12x+16=-x^2(3x+4)+4(3x+4)=(3x+4)(4-x^2)=\=3(x+frac{4}{3})(2-x)(x+2)=-3(x+frac{4}{3})(x-2)(x+2)[/latex] c)[latex]W(x)=20x^3+12x^2-45x-27=4x^2(5x+3)-9(5x+3)=(5x-3)(4x^2-9)=\=20(x-frac{3}{5})(x^2-frac{9}{4})=20(x-frac{3}{5})(x-frac{3}{2})(x+frac{3}{2})[/latex] d)[latex]W(x)=3x^3-6x^2+4x-8=3x^2(x-2)+4(x-2)=(x-2)(3x^2+4)=\=3(x-2)(x^2+frac{4}{3})[/latex] e)[latex]W(x)=5x^3-4x^2-5x+4=x^2(5x-4)-(5x-4)=(5x-4)(x^2-1)=\=5(x-frac{4}{5})(x-1)(x+1)[/latex] f)[latex]W(x)=18x^3+9x^2-18x-9=9x^2(2x+1)-9(2x+1)=9(2x+1)(x^2-1)=\=18(x+frac{1}{2})(x-1)(x+1)[/latex]
Rozłóż na czynniki wielomiany metodą grupowania wyrazów: a)W(x)=-9x3-18x2+x+2 b)W(x)=-3x3-4x2+12x+16 c)W(x)=20x3+12x2-45x-27 d)W(x)=3x3-6x2+4x-8 e)W(x)=5x3-4x2-5x+4 f)W(x)=18x3+9x2-18x-9 Prosze pomóżcie... ...
