MATLAB question. Please keep it as basic as possible and no home made functions.

P4.3.5 Horners scheme rearranges a polynomial as follows:

anxn+an1xn1+ +a0 = ((anx +an1)x+ )x +a0.

Evaluating the polynomial in this order helps reduce the cancellation error discussed in P4.3.4. Plot

the function g(x) = x66x5+15x420x3+15x26x+1 across the interval [.995,1.005] using

Horners scheme and using the typical evaluation order (g(x) exactly as shown above). You will

see that the cancellation error using Horners scheme is smaller