Expert: Lynn Houston - 7/12/2009

Question
21. Solve:

(t - 2)^3 - (t - 2) = 0

a) t = -2;  t = -3; t = -1  b) t = 2;  t = 3; t = 1
c) t = -2;  t = 3; t = 1    d) t = 2; t = -3; t = 1

22. Solve:

(x^2 - 3)^2 + (x^2 - 3) - 2 = 0

a) x = -2;  x = -1;  x = 1  b) x = -2;  x = 2
c) x = ±2;  x = ±1          d) x = -2;  x = -1

23. Find all of the zeros for f:

f(s) = 4s^4 - 17s^2 + 4

a) -0.5; -2     b) 0.5; 2
c) ± 0.5; ± 2   d)-0.5; 2

28. Solve the inequality:

x^2 ≤ 9

a) x ≤ -9  b) -3 ≤ x ≤ 3
c) x ≤ 9   d) x ≤ -3 or x ≥ 3

29. Solve the inequality:

3s2 < 48

a) s ≤ 18      b) -16 < s < 16
c) -4 < s < 4  d) s < 16

31. Solve the inequality:

t3 < 9t2


32. Solve the inequality:

4x(x + 1) ≥ 3

33. Factor the following polynomial:

250x2 - 2x5

34. Factor the following polynomial:

p4 - q4

35. Find all the zero's of f:

f(t) = (t - 3)2 - (t + 3)  

Answer
21. Solve:

(t - 2)^3 - (t - 2) = 0

b) t = 2;  t = 3; t = 1


22. Solve:

(x^2 - 3)^2 + (x^2 - 3) - 2 = 0

c) x = ±2;  x = ±1          


23. Find all of the zeros for f:

f(s) = 4s^4 - 17s^2 + 4

c) ± 0.5; ± 2


28. Solve the inequality:

x^2 ≤ 9

-3 ≤ x ≤ 3


29. Solve the inequality:

3s2 < 48

c) -4 < s < 4  


31. Solve the inequality:

t3 < 9t2
t < 9



32. Solve the inequality:

4x(x + 1) ≥ 3
4x^2 + 4x ≥ 3
4x^2 + 4x - 3 ≥ 0
(2x - 1)(2x+3) ≥ 0
(2x - 1)≥  0  or (2x+3)≥ 0
2x ≥ 1 or 2x ≥ -3
x ≤ -3/2  or  x ≥ 1/2    



33. Factor the following polynomial:

250x2 - 2x5
-2x^2(x^3 -125)
-2x^2 (x^2 + 5x + 25)(x-5)


34. Factor the following polynomial:

p4 - q4
(p^2-q^2)(p^2+q^2)
(p+q)(p-q)(p^2+q^2)


35. Find all the zero's of f:

f(t) = (t - 3)2 - (t + 3)
t^2 - 6t + 9 -t -3
t^2 -7t +6
(t-1)(t-6)
t=1 or t=6