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Understanding Polynomials: Terms, Degrees, and Standard Forms

Explore definitions of terms, polynomials, and degrees. Learn how to add and subtract polynomials, identify term and polynomial degrees, and write in standard form.

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Understanding Polynomials: Terms, Degrees, and Standard Forms

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  1. Definitions of the Day (DODs) 10.1 Adding and Subtracting Polynomials • Term • Polynomial • Degree of a Term • Degree of a polynomial • Standard Form

  2. Term: the “parts” of a polynomial. Example: 2x, 5, 4c, p,… Polynomial: One or more terms added or subtracted together. Example:5 Polynomial Term Term Term

  3. Degree of a term: The sum of the exponents of a term Example: This Term has a Degree Of 3 Term Degree of a polynomial: Highest terms degree. Example: This Polynomial has a Degree of 4 Polynomial

  4. Names of polynomials Standard Form: Terms decrease in degree from left to right.

  5. Example: Write each polynomial in standard form. Then name each polynomial by it’s degree and the number of its terms Standard Form:__________ Standard Form:__________ Degree Name:___________ Degree Name:___________ Term Name:____________ Term Name:____________

  6. Adding/Subtracting Polynomials Add Like Terms FIRST! Then Write in Standard Form.

  7. Adding/Subtracting Polynomials Add Like Terms FIRST! Then Write in Standard Form.

  8. Your Turn!!!

  9. Sentence Frames Polynomials are made up from adding or subtracting _________ together. Writing all terms in order of __________degree to _________ degree puts a polynomial in _________ form.

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