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If x=4/3 is a root of the polynomial f(x...

If `x=4/3` is a root of the polynomial `f(x)=6x^3-11 x^2+k x-20 ,` find the value of `k`

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`f(x)=6x^3-11 x^2+k x-20`
,`=>f(4/3)=6(4/3)^3-11(4/3)^2+k(4/3)-20=0`
`=>128-176+12k-180=0`
`=>12k+128-356=0`
`=>12k=228`
`=>k=19`.
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