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Polynomial Operations and Classification Guide

Learn to add and subtract polynomials, classify by degree and terms, identify coefficients and degrees, and write in standard form. Practice examples included.

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Polynomial Operations and Classification Guide

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  1. Lesson 7.1 Adding and subtracting polynomials Objective: To add and subtract polynomials To classify polynomial by degree and by number of terms EQ: How do you add /subtract polynomials? Example of a Polynomial Degrees Constant Coefficients

  2. Vocabulary Degree:is the exponent for each variable. Degree of the polynomial: is the largest exponent of the polynomial. (is sum of exponents in same term) Leading coefficient:is the coefficient of the first term. Descending order/Standard formis how polynomials are written where the terms are placed in descending order from largest degree to smallest.

  3. Example: Write the polynomials in Standard form/descending order. Then identify the leading coefficient and degree of the polynomial. 1. Degree is 7 Leading coefficient is 3 2. Degree is 4 leading coefficient is –2 3.

  4. Classifying Polynomials By Degree Constant 0 6 -3 Linear 1 3x + 4 -7x + 2 Quadratic 2 Cubic 3 Quartic 4

  5. Classifying polynomials By # of terms Monomial 1 3x Binomial 2 3x + 1 Trinomial 3 Note: Any polynomials with four or more terms are just called polynomials

  6. Adding polynomials Write answers in descending order Combine like terms to add polynomials EX: EX:

  7. Subtracting Polynomials 1. 2.

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