Equations of Graphs of Polynomial Functions

Equations of Graphs of Polynomial Functions

Sketching polynomial functions in fully factored form.

P (x) = (x− r1)a1(x− r2)

a2 ....(x− rn−1)an−1(x− rn)

an

where a1, a2, a3, ..., an−1, an integers greater than 0 and represent the multiplicity of the roots.r1, r2, r3, ..., rn−1, rn are real numbers and represent the roots (x-intercept) of P(x).

Here is an example of tow graphs in factored form. In this section, you should be able to graph thesegraphs without an aid of calculator.

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