SOLUTION: Given:f(x)=x^3+mx^2+nx+6 1.If (x-1) is a factor of f(x) and f(x) leaves a remainder of 8 when divided by (x-1),calculate the values of m and n 2.Factorise f(x) conpletely

Question 1024869: Given:f(x)=x^3+mx^2+nx+6
1.If (x-1) is a factor of f(x) and f(x) leaves a remainder of 8 when divided by (x-1),calculate the values of m and n
2.Factorise f(x) conpletely

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The description for #1 is wrong. Review the Remainder Theorem. A nonzero remainder means that the factor is not one of the root factors for the function.

You can perform the polynomial division for , very difficult to try to show here. The expression for the remainder will be . The quotient without the remainder will be .

Maybe this is enough to be helpful for you.
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