Convert the Newton form in #$5$ to a nested form so that we can use Horner$$s algorithm to evaluate the function. Do NOT give a general form. P$($x$)=9-10.$ Obtain a new data point by evaluating P$(3)$ using Horner$$s Algorithm. $9.$ Write the Horner$$s Algorithm $($specific to Newton form$)$ in pseudo$-$code $10.$ Apply the Horner$$s Algorithm to evaluate P$(3).$