Let p(x)= (x-3)(x+2) x^3-x^2-6x

MATHEMATICS · Subjective · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Let

p(x)=\dfrac{(x-3)(x+2)}{x^3-x^2-6x}.

(i) Factor the denominator completely. (ii) Hence, list all real numbers excluded from the domain. (iii) Write the domain of

p(x)

in interval notation.