Rozłóż wielomiany na czynniki W(x)= x³-5x²-9x+15 W(x)=x⁴-81 W(x)= 6x³+48 W(x)= x³+4x²-x-4

1. x³-5x²-9x+15= x²(x-5) - 3(x+5)= (x²-3)(x-5)(x+5) x²-3=0 x-5=0 x+5=0 x²=3 odp. x=√3 v x=5 v x=-5 2. x⁴-81=0 x⁴=81 x=⁴√81 odp. x=3 3. 6x³+48 /:6 x³=8 odp. x=2 4. x³+4x²-x-4 = x²(x+4)-(x-4) = (x²-1)(x+4)(x-4) x²-1=0 x+4=0 x-4=0 x²=1 odp. x=1 v x=-4 v x=4