Asked by Anonymous
                the polynomial g(x)=-x^3-rx^2+2x+s has a remainder of 6 when divided by x+2 and a remainder of 119 when divided by x-3. What are the values of r and s
            
            
        Answers
                    Answered by
            oobleck
            
    so we know from the Remainder Theorem that
g(-2) = 8-4r-4+s = 6
g(3) = -27-9r+6+s = 119
now just solve as usual
    
g(-2) = 8-4r-4+s = 6
g(3) = -27-9r+6+s = 119
now just solve as usual
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