This problem is about evaluation of a polynomial p(x) = c1c2x+C3x + + Cnx-1 (a) Here...

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This problem is about evaluation of a polynomial p(x) = c1c2x+C3x + + Cnx-1 (a) Here is a little code to do the evaluation. y = c(1); xpow = 1; for i = 2:n xpow = xpow * x; end yyc (i) *xpow; Assuming that x is a scalar, how many flops does this code take, as a function of n? Provide both the exact answer and the asymptotic answer as n . (b) Here is another code to do the same task. This algorithm is called Horner's rule. y = c(n); for j = n-1:-1:1 yyxc(j); end Assuming that x is a scalar, how many flops does this code take, as a function of n? Provide both the exact answer and the asymptotic answer as noo. Then compare the count to the one from (a). Ac This problem is about evaluation of a polynomial p(x) = c1c2x+C3x + + Cnx-1 (a) Here is a little code to do the evaluation. y = c(1); xpow = 1; for i = 2:n xpow = xpow * x; end yyc (i) *xpow; Assuming that x is a scalar, how many flops does this code take, as a function of n? Provide both the exact answer and the asymptotic answer as n . (b) Here is another code to do the same task. This algorithm is called Horner's rule. y = c(n); for j = n-1:-1:1 yyxc(j); end Assuming that x is a scalar, how many flops does this code take, as a function of n? Provide both the exact answer and the asymptotic answer as noo. Then compare the count to the one from (a). Ac