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Overview of Quadratic and Cubic Polynomials

Algebra • Graphs

Key concepts

What you'll likely be quizzed about

  • Quadratic polynomials are characterized by their degree, which is two.
  • This means that the highest exponent of the variable x is squared, resulting in a parabolic graph.
  • Key features include the vertex, axis of symmetry, and y-intercept.
  • The graph opens upwards if the leading coefficient is positive and downwards if negative.
  • Vertex form, standard form, and factored form are methods to express and analyze quadratic equations.

Flashcards

Test your knowledge with interactive flashcards

What are local maxima and minima in polynomial functions?

Click to reveal answer

Local maxima and minima are points in a polynomial function where the graph reaches its highest or lowest values locally.

Key notes

Important points to keep in mind

The vertex is the turning point of the parabola.

Use the quadratic formula for finding roots.

Cubic graphs can change direction up to twice.

Check for inflection points in cubic polynomials.

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