March 5, 2014
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March 5, 2014

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March 5, 2014 March 5, 2014 Presentation Transcript

  • Warm-Up 1. (5x2)(–2x3) 2. Simplify: x + 2(x – [3x – 8] + 3) 4. (-3a3n4)(-3an)4 5. It is estimated there are over 3.5 x 106 ants per acre in the Amazon rain forest which covers about 1 billion acres. Find the total number of ants in both standard form and scientific notation.
  • Class Notes Section of Notebook
  • Polynomials Polynomials can be +, - , •, and ÷. Success with polynomials is determined by applying the correct rule for the given operation. This will also be the first time that we solve and graph equations with variable degrees > 1. Polynomial: from the root poly, meaning many. The 'many' in this case are terms. Polynomials have many terms. Remember, terms are separated by a +, a -, or an = sign. From our last unit, we know that a monomial is a single term. Polynomials then, are simply a number of monomials connected by a +, - or = sign. So,...the rules that determine what is and isn't a polynomial, we look at the rules for what is and what isn't a monomial.
  • Polynomial? Yes or No Classifying Polynomials: Polynomials can be classified by their number of terms a Since a polynomial is and by their highest degree. Classified by terms: collection of monomials, these rules also determine the criteria for a polynomial.
  • Polynomials Classifying Polynomials: By Degree
  • Polynomials
  • Polynomials What a typical polynomial looks like: Leading coefficient
  • Polynomials Simplifying Polynomials: Like terms have the same exponent to the same degree.
  • Polynomials Review:
  • Polynomial Basics Identify the degree of each polynomial, then rewrite in standard form. 1. 15xµa + 8x´a´ - a³x 2. 5x´y² - 7xµy´ + 13x²yµ 3. 12x³y⁸ + 24x¶y´ 4. 16x´y³z² 5. 5x² + 4y¶
  • Polynomial Basics 8x² - 6x³y² + 4yµ
  • Polynomial Basics
  • Polynomials: Add Polynomials by combining like terms, which are monomials that have the same variable to the same power.
  • Polynomials: Subtracting Polynomials
  • Polynomials: Subtracting Polynomials
  • Class Work: