Section 3.5 practice
Name ______________________________________
Graph
[1] f(x) = (x+1)2(x-1)(x-3)2
[2] f(x) = -2(x+1)(x-3)(x+5)2
End behavior
as x  ∞ , f(x)  _________
as x - ∞ , f(x)  _________
End behavior
as x  ∞ , f(x)  _________
as x - ∞ , f(x)  _________
Find polynomials with the following roots
[3] 3, 2, -5
[4] 2, i
[5] -2, ½ , 1
Given one factor for each cubic, find the remaining roots of the function then sketch the
graph.
[6] f(x) = x3 – 4x2 – 4x + 16,
factor : x + 2
[7] f(x) = x3 – 3x2 – 9x - 5,
factor : x - 5
[8] f(x) = 2x3 + 5x2 – 14x - 8,
factor : x + 4
Solve by factoring
[9] 2x2 -5x -3 = 0
Solve by quadratic formula
[11] x2 +4x + 3 = 0
Solve by Completing the square
[13] x2 – 10x + 21 = 0
Quadratic Review
[10] x2 -6x + 5 = 0
[12] 3x2 – x – 2 = 0
Steps
1. Isolate terms with x one side of =
2. Make a = 1 by dividing all terms by a
(if necessary)
3. Take half of b and add it to both sides
4. Factor the sides with x (should be
a perfect square)
5. Squre root both sides (don’t forget + )
and solve.