Question

If `f(x)=2x^3+mx^2-13x+n` and 2 and 3 are 2 roots of the equations f(x)=0, then values of m and n are

Answer 1

`f(2)=2*2^3+m(2)^2-13*2+n=0`
`16+4m-26+n=0`
`4m+n=10-(1)`
`f(3)=2.3^3+m*3^2-13*3+n=0`
`54+9m-39+n=0`
`9m+n=-15`
`-5m=25`
`m=-5`
`n=30`.