$5.$ Consider the polynomial f$($x$)=$ x$3$ x $1.$The only real root of f$($x$)$ is called the plastic number.It has the exact value$3/9+$ V$6939-$ V$69$p$=-+1818($a$)$ Use the intermediate value theorem to verify that the real root of flies in the interval $(1,2).($b$)$ Use Python and Newton's method with a suitable initial value based on part $($a$)$ to approximate theplastic number to $9$ decimal places.You may find the example Python code in the Try It$!$ module in Learn helpful.