Dla jakiej wartości m w ( x ) = 2 m x ³ - 4 x ² +mx - 2 m jest podzielony przez x +1 ?
W ( x ) = 2mx ³ - 4x ² + mx - 2m
x + 1 = 0
x = -1
W(-1) = 0
W ( -1 ) = 2m *(-1)³ - 4 * (-1)² + m *(-1) - 2m =
2m *(-1) - 4 * 1 + m *(-1) - 2m =
-2m - 4 - m - 2m =
-5m - 4
-5m - 4 = 0
-5m = 4 /:(-5)
m = - 4/5
w ( x ) = 2 m x ³ - 4 x ² +mx - 2 m
w(-1)=2m*(-1)³-4*(-1)²+m*(-1)-2m
-2m-4-m-2m=0
-5m=4
m=-4/5
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W ( x ) = 2mx ³ - 4x ² + mx - 2m
x + 1 = 0
x = -1
W(-1) = 0
W ( -1 ) = 2m *(-1)³ - 4 * (-1)² + m *(-1) - 2m =
2m *(-1) - 4 * 1 + m *(-1) - 2m =
-2m - 4 - m - 2m =
-5m - 4
-5m - 4 = 0
-5m = 4 /:(-5)
m = - 4/5
w ( x ) = 2 m x ³ - 4 x ² +mx - 2 m
w(-1)=2m*(-1)³-4*(-1)²+m*(-1)-2m
-2m-4-m-2m=0
-5m=4
m=-4/5