Rozłóż wielomian w na czynniki. a) w(x) = -12x^5 + 12x^3 – 3x b) w(x) = x^6 – 18x^4 + 81x^2 c) w(x) = -x^4 -64x

[latex]a) w(x) = -12x^5 + 12x^3 - 3x=-3x(4x^4-4x^2+1)= \-3x(2x^2- 1 )(2x^2-1) \ \ b) w(x) = x^6 -18x^4 + 81x^2=x^2(x^4-18x^2+81)= \ x^2(x^2-9)(x^2-9)= \ x^2(x-3)(x+3)(x-3)(x+3) \ \ c) w(x) = -x^4 -64x=-x(x^3+64)=-x(x+4)(x^2-4x+16)[/latex]