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Polynomials

This guide explores polynomials, highlighting key concepts such as binomials, trinomials, and monomials. A polynomial consists of one or more monomials combined by addition or subtraction. We'll define like terms and explain the process of simplifying polynomials by combining like terms and arranging them in descending order. Additionally, we'll demonstrate a practical application by finding the perimeter of a triangle given in polynomial form. Finally, we will touch on the importance of recognizing patterns in polynomial expressions, like the expansion of (a+b)².

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Polynomials

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  1. Polynomials

  2. Polynomial Term Binomial Trinomial 1 or more monomials combined by addition or subtraction each monomial in a polynomial polynomial with 2 terms polynomial with 3 terms

  3. Like terms are two or more monomials that are have the exact same variables to the exact same exponents but may differ by coefficient.

  4. Simplify Combine like terms and put terms in descending order

  5. 3. Find the perimeter of the triangle. P = (6a - 5) + (3a + 2) + 3a P = 12a - 3

  6. Simplify

  7. Simplify *Notice that (a+b) 2 = a2 +2ab +b2

  8. Simplify

  9. Simplify

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