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Mathematics · Polynomial FunctionsMATHEMATICS · GRADE 10
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Mathematics · Polynomial Functions · Topic 13 · 13 of 18

Graphing from Factored Form

Build a complete graph from factors, zeros, multiplicities, and intercepts.

Six-step graphing plan

  1. Find degree and leading coefficient.
  2. Identify every zero and multiplicity.
  3. Predict cross, bounce, or flatten behavior.
  4. Find the y-intercept.
  5. Determine end behavior.
  6. Connect all features with one smooth curve.

f(x)=−(x+2)²(x−1)