3. ADT array-based polynomials a. Input/output Input: (1) The degree of the polynomial (the highest degree of all the terms in the polynomial) (2) The coefficient for each term from the highest degree...


3. ADT array-based polynomials<br>a. Input/output<br>Input:<br>(1) The degree of the polynomial (the highest degree of all the terms<br>in the polynomial)<br>(2) The coefficient for each term from the highest degree to the<br>lowest degree<br>Output:<br>Print out the polynomial.<br>e.g.: if user enters 3 for the degree of the polynomial and enters 7, 0, 9, 10<br>for each term from the highest degree to the lowest degree, then the output<br>will be: 7x^3+9x+10<br>b. Evaluation<br>Once the polynomial has been entered by the user, prompt the user to enter<br>the value of x and evaluate the polynomial and print out the value of the<br>polynomial.<br>e.g. if user enter 2 for the value of x (that is, x=1), then you evaluate the<br>polynomial as 7*2^3+9*2+10=84 and you print out the value of the<br>polynomial is 84.<br>

Extracted text: 3. ADT array-based polynomials a. Input/output Input: (1) The degree of the polynomial (the highest degree of all the terms in the polynomial) (2) The coefficient for each term from the highest degree to the lowest degree Output: Print out the polynomial. e.g.: if user enters 3 for the degree of the polynomial and enters 7, 0, 9, 10 for each term from the highest degree to the lowest degree, then the output will be: 7x^3+9x+10 b. Evaluation Once the polynomial has been entered by the user, prompt the user to enter the value of x and evaluate the polynomial and print out the value of the polynomial. e.g. if user enter 2 for the value of x (that is, x=1), then you evaluate the polynomial as 7*2^3+9*2+10=84 and you print out the value of the polynomial is 84.
c. Add two polynomials.<br>Prompt the user to enter two polynomials (as above in step a), then add<br>these two polynomials and print out the result.<br>e.g.: for the first polynomial, the user enters 3 for the degree of the<br>polynomial and enters 7, 0, 9, 10 for each term from the highest degree to<br>the lowest degree; for the second polynomial, the user enters 2 for the<br>degree of the polynomial and enters 1, 2, 3 for each term from the highest<br>degree to the lowest degree, then you have:<br>1st polynomial: 7x^3+9x+10<br>2nd polynomial: x^2+2x+3<br>After<br>you<br>add these two polynomials: your have 7x^3+x^2+11x+13.<br>

Extracted text: c. Add two polynomials. Prompt the user to enter two polynomials (as above in step a), then add these two polynomials and print out the result. e.g.: for the first polynomial, the user enters 3 for the degree of the polynomial and enters 7, 0, 9, 10 for each term from the highest degree to the lowest degree; for the second polynomial, the user enters 2 for the degree of the polynomial and enters 1, 2, 3 for each term from the highest degree to the lowest degree, then you have: 1st polynomial: 7x^3+9x+10 2nd polynomial: x^2+2x+3 After you add these two polynomials: your have 7x^3+x^2+11x+13.

Jun 11, 2022
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