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Polynomials

Checkpoint: relations, building and the cubic

One question on each of the later ideas. Retry as often as you like.

What is the sum of the zeros of 4x² + 8x − 5?

Which quadratic has zeros 3 and −2?

For x² + 3x − 10, the product of the zeros is −10. What does that say?

α and β are the zeros of x² − 5x + 3. What is α² + β²?

What is the sum of the zeros of x³ − 9x² + 26x − 24?

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This track

  1. 0 Start here
  2. 1 The input that lands on zero
  3. 2 Factors hand over their zeros
  4. 3 The curve and its crossings
  5. 4 The sum the zeros keep
  6. 5 Where the two relations come from
  7. 6 Building it from its zeros
  8. 7 What the relations tell you first
  9. 8 Finding values without the zeros
  10. 9 The cubic keeps three relations
  11. 10 Checkpoint: relations, building and the cubic
  12. 11 The big picture
  13. 12 Track quiz

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