SOLUTION: Please help me solve this question:- 1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1. Show th

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me solve this question:- 1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1. Show th      Log On


   

Question 557501: Please help me solve this question:-
1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1. Show that c can have any value and find b in terms of a.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this question:-
1.) When polynomial ax^3+bx^2+cx-4 is divided by x+2 the remainder is double than obtained when the same polynomial is divided by x+1.
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Find the remainders:
f(-2) = -8a + 4b -2c -4
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f(-1) = -a + b - c -4
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Equation:
f(-2) = 2f(-1)
-8a + 4b -2c -4 = 2[-a+b-c-4]
-8a + 4b -2c-4 = -2a + 2b -2c -8
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6a -2b = 4
3a - b = 2
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b = 3a-2
c can be any value
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Cheers,
Stan H.
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Show that c can have any value and find b in terms of a.