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The Add and subtract polynomials: two variables exercise appears under the Precalculus Course Mastery section. This exercise practices the addition and subtraction of polynomial expressions with two variables.

Types of Problems[]

There is one type of problem in this exercise:

  1. Add or subtract the polynomials: This problem has an arithmetic problem asking the student to add or subtract two polynomials. After finding the answer, the answer is to be typed in to an answer box on the right.
    Add and subtract polynomials with two variables

    Add or subtract the polynomials

Strategies[]

Knowledge of addition and subtraction, specifically collecting like terms, is all that is needed to complete this exercise.

  1. Since students are asked to find the sum or difference of two polynomials, they should substitute in the trinomial expressions that we are given for them.

Real-life Applications[]

  1. Polynomials can be used via power series to represent many complicated functions and calculus is simpler to perform on polynomials than other functions. Thus any comfort with polynomials should increase calculus ability.
  2. Factoring polynomials is an important skill in solving inequalities and equations with polynomials.
  3. Factoring polynomials can be used for solving equations with polynomials, such as those that appear in many business models.