Mathematics

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