Question

1. solve the following inequality. write your solution in interval notation. (x+3)/(x-3)<0


2. find all the zeros of the following polynomial. write the polynomial in factor form. f(x)=x^4+3x^2-40

Answer 1

first one has zeros at \(-3\) and \(3\)
it will be negative between them, positive outside
you want where it is negative, your answer is \(-3<x<3\)

Answer 2

for the scone one, factor as \((x^2-5)(x^2+8)\) and then solve

Answer 3

Hmmm... The first one does not have a zero at x = 3, but that may make no difference for the eventual solution.

Answer 4

yes that is true, i should have said "the factors have a zero of -3 and 3" which would have been a better way to say it (since the first thing i said was wrong)