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

Algebra ->  Equations -> 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       Log On


   



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) About Me  (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 %28x%5E3%2Bmx%5E2%2Bnx%2B6%29%2F%28x-1%29, very difficult to try to show here. The expression for the remainder will be m%2Bn%2B7. The quotient without the remainder will be x%5E2%2B%28m%2B1%29x%2B%28m%2Bn%2B1%29.

Maybe this is enough to be helpful for you.