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Unit 8 – Polynomials

Unit 8 – Polynomials. Topic: Introduction to Polynomials. What are monomials & polynomials?. Polynomial More than one term. Sum or difference of monomials. Ex. Monomial Single term. Number, variable, or product of numbers & variables. Ex. Degrees of monomials & polynomials. Monomial

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Unit 8 – Polynomials

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  1. Unit 8 – Polynomials Topic: Introduction to Polynomials

  2. What are monomials & polynomials? • Polynomial • More than one term. • Sum or difference of monomials. • Ex. • Monomial • Single term. • Number, variable, or product of numbers & variables. • Ex.

  3. Degrees of monomials & polynomials Monomial • Degree = sum of variable exponents. • Ex. Polynomial • Degree of term with highest degree. • Ex.

  4. Standard form of a polynomial • Terms are written in decreasing order of degree. • Only done when polynomial contains one variable. • Coefficient of 1st term is called leading coefficient.

  5. Standard form of a polynomial • Write the following in standard form and identify the leading coefficient. Rewrite from highest to lowest degree. The leading coefficient is –4.

  6. Adding & Subtracting Polynomials • REMEMBER: Only like terms can be combined. • Like terms have same variable(s) AND degree. • When combining like terms, add or subtract coefficients ONLY (degree doesn’t change). • Final answer MUST be in standard form (if possible).

  7. Adding & Subtracting Polynomials • Horizontal Method • Use Commutative & Associative Properties to regroup and combine like terms. Group the like terms, in order of decreasing degree. Combine like terms.

  8. Adding & Subtracting Polynomials • Vertical Method • Align like terms; to avoid confusion you can use 0 as a coefficient for missing terms. We use 0n so all our terms will line up for easy addition (or you can leave an empty space).

  9. JOURNAL EntryTitle: Polynomials 3-2-1 Identify 3 things you already knew from the Powerpoint, 2 new things you learned, and one question you still have.

  10. Homework Textbook Section 7-5 (pg. 479): 28-48 even Textbook section 7-6 (pg. 487): 33-43 DUE 2/23 (b-day) or 2/24 (a-day)

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