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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 does the vertex of a quadratic polynomial represent?

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The vertex represents the maximum or minimum point on the graph of a quadratic polynomial.

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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