linked structures addition two polynomials of the same variable can be summed by adding the coefficients of corresponding terms of equal degree the result is third polynomial consider the following two polynomials which we can add to yield new polynomial( ( subtraction is performed in similar fashion but the coefficients are subtracted instead another way to view polynomial addition is to align terms by degree and add the corresponding coefficients - - multiplication the product of two polynomials is also third polynomial the new polynomial is obtained by summing the result from multiplying each term of the first polynomial by each term of the second consider the two polynomials from the previous example( )( the second polynomial has to be multiplied by each term of the first polynomial ( ( - ( we then distribute the terms of the first polynomial to yield three intermediate polynomials( ( (- finallythe three polynomials are summedresulting in evaluation the easiest operation by far is the evaluation of polynomial polynomials can be evaluated by assigning value to the variablecommonly called the unknown by making the variable known in specifying valuethe expression can be computedresulting in real value if we assign value to the variable in the equation the result will be ( ) ( ) ( ) ( ) (