Determine the value of a for which the polynomial `2x^4-a x^3+4x^2+2x+1` is divisible by `1-2xdot`

Explanation

`p(x)=2x^4-ax^3+4x^2+2x+1`
`(1-2x)=x=1/2`
`p(1/2)=0`
`=>2(1/2)^4-a(1/2)^3+4(1/2)^2+2(1/2)+1=0`
`=>2xx1/16-a/8+4xx1/4+2xx1/2+1=0`
`=>1/8-a/8+1+1=0`
`=>a/8=25/8`
`=>a=25`
`therefore` The value of `a=25`