Question: I only need the answer for part c) Question #4 - 4 Marks. Consider the polynomial, f(x)=x5+2x45x27x3, and solve the following questions by hand. (a)

 I only need the answer for part c) Question \#4 -

I only need the answer for part c)

Question \#4 - 4 Marks. Consider the polynomial, f(x)=x5+2x45x27x3, and solve the following questions by hand. (a) (3 points) Use Horner's algorithm to compute f(1) and f(1). (b) (1 point) Suppose we use the values in (a) to obtain x1 using Newton's method, as an approximation to a true root of f(x). What is the approximate deflated polynomial? (c) (2 points) If instead we let Newton continue after calculating x1, until it converges to the actual root xt=1, what is the order of convergence? Justify your

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