Expert: Lynn Houston - 11/27/2008

Question
31. Solve the inequality: t^3 < 9t^2


32. Solve the inequality: 4x(x + 1) ≥ 3



33. Factor the following polynomial: 250x^2 - 2x^5


34. Factor the following polynomial: p^4 - q^4


35. Find all the zero's of f: f(t) = (t - 3)^2 - (t + 3)  

Answer
31. Solve the inequality: t^3 < 9t^2
t<9

32. Solve the inequality: 4x(x + 1) ≥ 3
-3/2 > x > 1/2


33. Factor the following polynomial: 250x^2 - 2x^5
-2x^2(x^3-125)
(x-5)(x^2 + 5x + 25)

34. Factor the following polynomial: p^4 - q^4
(r^2+q^2)(r^2-q^2)
(r^2+q^2)(r-q)(r+q)

35. Find all the zero's of f: f(t) = (t - 3)^2 - (t + 3)
t=1 or t=6