(3 points) A single-variable polynomial of degree n is written as ao+a1x+a2x +. ... + Anxn...

 

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(3 points) A single-variable polynomial of degree n is written as ao+a1x+a2x² +. ... + Anxn where an,..., ao are coefficients. Suppose we represent such a polyno- mial as a list (ao, a1, a2, ..., an). Write a Scheme function compute, which takes a list that represents a polynomial and a value for x and computes the value for the polyno- mial. For instance, when given input polynomial (1, 2, 3) and 2, then the function should return 17, because 1+2*2+32² = 17 Hint: You should figure out how to calculate the result of (compute 1 x) from combining "car 1" and "(compute (cdr 1) x)". (3 points) A single-variable polynomial of degree n is written as ao+a1x+a2x² +. ... + Anxn where an,..., ao are coefficients. Suppose we represent such a polyno- mial as a list (ao, a1, a2, ..., an). Write a Scheme function compute, which takes a list that represents a polynomial and a value for x and computes the value for the polyno- mial. For instance, when given input polynomial (1, 2, 3) and 2, then the function should return 17, because 1+2*2+32² = 17 Hint: You should figure out how to calculate the result of (compute 1 x) from combining "car 1" and "(compute (cdr 1) x)".

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