Question

Rozkład wielomianów na czynniki

1. W(x) = x3 + 3x2 + 6x + 18 =
2. W(x) = 3x3 - 6x2 + 4 x - 8=
3. W(x) = x4 +x3 + 4x2 + 4x =
4. W(x) = 2x3 - 2x2 - x + 1=
5. W(x) = 5x3 + 15x2 - x - 3 =
6. W(x) = 4x3 - x2 - x - 1/4 =

Te duże liczby za "x" to pierwiastki

Answer 1

1. W(x) = x3 + 3x2 + 6x + 18 = x²(x+3)+6(x+3)
2. W(x) = 3x3 - 6x2 + 4 x - 8= 3x²(x-2)+4(x-2)
3. W(x) = x4 +x3 + 4x2 + 4x =x³(x+1)+4x²(x+1)
4. W(x) = 2x3 - 2x2 - x + 1=2x²(x-1)-1(x-1)
5. W(x) = 5x3 + 15x2 - x - 3 =5x²(x+3)-1(x+3)
6. W(x) = 4x3 - x2 - x - 1/4 =4x²(x-1/4)-1(x+1/4)