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Lesson 48 -- Polynomials -- Degree -- Addition of Polynomials

Lesson 48 -- Polynomials -- Degree -- Addition of Polynomials. Polynomials. The following are some expressions that we have seen so far:. Polynomials. Each algebraic expression is in the form ax n . The numerical coefficient of each algebraic expression, a, is a real number.

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Lesson 48 -- Polynomials -- Degree -- Addition of Polynomials

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  1. Lesson 48--Polynomials -- Degree --Addition of Polynomials

  2. Polynomials The following are some expressions that we have seen so far:

  3. Polynomials • Each algebraic expression is in the form axn. • The numerical coefficient of each algebraic expression, a, is a real number. • 3) The exponent of the variable, n, is a positive integer or it is the number zero. Definition: A polynomial of one term is called a monomial. Definition: A polynomial of two terms is called a binomial. Definition: A polynomial of three terms is called a trinomial.

  4. Polynomials Definition of a Polynomial in One Unknown A polynomial in one unknown is an algebraic expression of the form where the coefficients are real numbers, x is a variable, and the exponents are whole numbers.

  5. Degree Definition of Degree of a Term The degree of a term of a monomial is the sum of the exponents of the variables in the term. Third-degree terms Fifth-degree terms

  6. Degree Definition of Degree of a Polynomial The degree of a polynomial is the same as the degree of its highest-degree term. Third-degree polynomial Fifth-degree polynomial

  7. Example 48.1 Add. Write the answer in descending order of the variable.

  8. Example 48.2 Add. Write the answer in descending order of the variable.

  9. Example 48.3 Add. Write the answer in descending order of the variable.

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