Study the polynomials and

MATHEMATICS · Multi-part · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Study the polynomials

f(x)=x^4-9x^2

and

g(x)=x^3-3x

. Answer the following: (a) Determine the number of distinct real zeros of

f(x)

. (b) Determine the number of distinct real zeros of

g(x)

. (c) State the symmetry type (even or odd) of each function. (d) Which function has an

x

-intercept at

x=0

of multiplicity greater than

1