Understanding Cubic Polynomials

Front

Definition of a cubic polynomial

Back

A polynomial of degree 3, in the form ax^3 + bx^2 + cx + d

Front

Example of a cubic polynomial

Back

2x^3 - 3x^2 + x - 5

Front

Degree of a cubic polynomial

Back

3

Front

Leading coefficient

Back

Coefficient of x^3 in a cubic polynomial

Front

Roots of a cubic polynomial

Back

Values of x for which the polynomial equals zero

Front

Number of roots

Back

Up to 3 real roots

Front

Fact about cubic polynomials

Back

Always have at least one real root

Front

End behavior of cubic polynomials

Back

As x → ∞, f(x) → ∞ or f(x) → -∞

Front

Symmetry in cubic polynomials

Back

Generally no symmetry

Front

Inflection point

Back

Point where the curve changes concavity