Algebra 2 – Warm Up
x y 4 (2 x 2 )2
1. Simplify completely 5
x y x 3
2. What is equivalent to ( x3  x  3)  (3x3  5x 2  x)
3. Simplify (2 x  3) 2
4. Simplify
 x 2 z 1 

3 
3x y 
2
5. Find all the following information for polynomial graphed below:
Number of turning points:____
Lowest Degree:______
Is the leading coefficient positive or negative? __________
Real Zeros:________________
y-intercept:______
Relative maximum(s):_______________________
Relative Minimum(s):_______________________
As x +, f(x) ____
As x -, f(x) ____
Increasing Intervals: __________________________________________________
Decreasing Intervals: ____________________________________________________
List all the factors you can find based on the graph: ______________________________________
Algebra 2 – Classwork
x y 2 (2 x 0 ) 3
6. Simplify completely 3
x y x 5
7. What is equivalent to ( x3  3x  1)  ( x3  2 x 2  x)
8. Simplify (3x  5) 2
9. Simplify
 x 2 z 1 
 2 4 
4x y 
2
10. Find all the following information for polynomial graphed below:
Number of turning points:____
Lowest Degree:______
Is the leading coefficient positive or negative? __________
Real Zeros:________________
y-intercept:______
Relative maximum(s):_______________________
Relative Minimum(s):_______________________
As x +, f(x) ____
As x -, f(x) ____
Increasing Intervals: __________________________________________________
Decreasing Intervals: ____________________________________________________
List all the factors you can find based on the graph: ______________________________________
Find all of the zeros of the polynomial. No decimals! Given the polynomial:
g(x) = x3 + x2 + 2x +24
f(x) = 2x4 + 5x3 - 8 x2 - 25x -10
a) List all possible rational zeros
b) Factor polynomial completely
c) List all zeros of the function