Apply Horner S Algorithm Evaluate Polynomial P X 2x5 3x3 2x 5 X 4 Show Work Every Step Pro Q37127518

[a] Apply Horner’s algorithm to evaluate the polynomial p(x) =2×5 – 3×3 + 2x + 5 at x = 4. Show all your work for every step ofthe process.

[b] Use the results of Horner’s algorithm application to findthe quotient and remainder of the division of p(x) by x – 4.

Answer

`Hey,

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Since the coefficients are C=[2,0,-3,0,2,5]

So,

By horner at x=4

it is

sum=0+2

sum=sum*4+0=8

sum=sum*4-3=29

sum=sum*4+0=29*4=116

sum=sum*4+2=116*4+2=466

sum=sum*4+5=466*4+5=1869

Note: Brother according to chegg’s policy we are onlyallowed to answer first part if there are many. So, I request youto post

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Apply Horner S Algorithm Evaluate Polynomial P X 2×5 3×3 2x 5 X 4 Show Work Every Step Pro Q37127518