code class$=$"asciimath"$>$The function f is defined by f$($x$)=4$x$^(3)+$px$^(2)+5$x$+2,$ where p is a constant. $($i$)$ Given that x$-1$ is a factor of f$($x$),$ find the value of p$.($ii$)$ Using the value of p found in $($i$),($a$)$ find the remainder when f$($x$)$ is divided by $2$x$-3,($b$)$ factorise f$($x$)$ completely, $($c$)$ Hence, solve the equation $4($y$-1)^(3)+$p$($y$-1)^(2)+5$y$-3=0$