Unit 2 · Algebra

Chapter 2.5

Quadratics and Their Roots

You can know the sum and the product of a quadratic's roots without ever finding the roots.

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By the end

  1. 01Relate roots and coefficients with Vieta's formulas
  2. 02Find a maximum or minimum by completing the square or by AM-GM
  3. 03Build a polynomial from facts about its roots and values

In unit 2

  1. 2.1Choosing the Unknown
  2. 2.2Rates, Ratios, and Percents
  3. 2.3Averages Are Totals in Disguise
  4. 2.4Factor Before You Compute
  5. 2.5Quadratics and Their Roots
  6. 2.6Arithmetic and Geometric Sequences
  7. 2.7Sequences Built From Their Past
  8. 2.8Functions, Graphs, and Absolute Value
  9. 2.9Which Idea Opens It? Algebra
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