SOLUTION: When ax³ + bx² + cx - 4 is divided by (x+2), the remainder is double that obtained when the expression is divided by (x+1). Show that c can have any value and find b in terms of
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Question 1158341: When ax³ + bx² + cx - 4 is divided by (x+2), the remainder is double that obtained when the expression is divided by (x+1). Show that c can have any value and find b in terms of a.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
, the remainder is double that obtained when the expression is divided by (x+1). Show that c can have any value and find b in terms of a.
is divided by :
..........(
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.......... ............subtract
..................
...........................subtract
............................
............................
.....................................subtract
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.........................................->reminder
is divided by :
..........(
|
............ ............subtract
..................
...........................subtract
............................
............................
.....................................subtract
.........................................
.........................................->reminder
the remainder is double more than remainder :
........simplify
-> so,this proves that can have value
.........solve for
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