Zad 1. Dane są wielomiany (A)x=-x ^4- x^3+1 i B(x)=- x^ 3+3. Wyznacz C(x)jeśli C(x)= 2*A(x)+B(x).   Zad 2. Rozwiąż równanie: a)x(x-3)(x+2)(x-1)=0 b)3x^3- x^2-21x+7=0   Zad 3. Rozwiąż nierówności: a) (x-2)(x+5)(x-1)≤0 b)x^3- 3x^2- 9x+27 ≥0

Zad.1 A(x0 = -x^4 - x^3 +1 B(x) = -x^3 + 3 C(x = ?   C(x) = 2*A(x) + B(x) C(x) = 2(-x^4 - x^3 =1) + (-x^3 + 3) =        = -2x^4 - 2x^3 + 2 - x^3 + 3 =        = -2x^4 - 3x^3 + 5   Zad.2 a) x(x-3)(x+2)(x-1) = 0 x = 0 x-3 = 0  => x = 3 x+2 = 0  = x = -2 x-1 = 0  => x = 1 x = -2   v   x = 1   v   x = 2   b) 3x³-x²-21x+7 = 0 x²*(3x-1)-7(3x-1) = 0 (x²-7)(3x-1) = 0 (x+√7)(x-√7)(3x-1) = 0 x = -√7 x = √7 3x-1 = 0  => x = 1/3  x = -√7   v   x = 1/3   v   x = √7   Zad.3 a) (x-2)(x+5)(x-1) ≤ 0 x-2 ≤ 0  => x ≤ 2 x+5 ≤ 0  => x ≤ -5 x-1 ≤ 0  => x ≤ 1 x ≤ -5   v   x ≤ 1    v   x ≤ 2   b) x³-3x²-9x+27 ≥ 0 x²(x-3)-9(x-3) ≥ 0 (x²-9)(x-3) ≥ 0 (x+3)(x-3)(x-3) ≥ 0 x ≥ -3   v  x ≥ 3