AAC #5 Graphing Polynomials

The roots are -1, 4, and -2.

The relative minimum can be found by analyzing the graph or using calculus to find critical points.

The end behavior is Left down and Right down.

The degree and the sign of the leading coefficient determine the end behavior.

The degree is 3 (odd) and the leading coefficient is positive.

A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

You can find the roots by factoring the polynomial, using the quadratic formula, or graphing.

A relative maximum is a point where the polynomial reaches a peak compared to nearby points.

The degree of a polynomial indicates the highest power of the variable and affects the shape and number of roots.