1. How many solutions does the equations have?
Starter – Day November 14
Content Objective: We will use an extra day of review in order to complete the Unit 4 review assignment.
Language Objective: We will be able to describe how to determine the number of roots an equation has.
How many solutions does the equations have?
f(x) = x3 – 7x2 + 11x - 5
Write a FACTORED polynomial function with the following roots:
root: 0, multiplicity: 2
root: 7, multiplicity: 3
end behavior: down, up

2. LAB Writing
Describe how you know how many roots an equation has when it is:
Factored
Not factored

3. Find the roots
y=x2+3x+2

4. Find the roots
y=4x2-25

5. If -6 + 7i is a solution to a polynomial equation, what else must be a solution?

6. Write a polynomial equation that has the given roots:
-3, -5, 2

7. Graph y = x3 + 2

8. State the number of solutions this equation has:
2x(x - 3)(x + 3)3 = 0

9. Find the solutions:
p3 + 6p = 0

10. Write a polynomial equation that has the given roots:
-4i, 4i

11. Write a FACTORED polynomial function with the following roots, multiplicities, and end behavior.
root: 0, multiplicity: 2
root: 7, multiplicity: 3
end behavior: down, up

12. Sketch the graph. roots multiplicity touch/ cross Power function
end behavior
y-intercept
max turning points 1 C
up, down 6 2 3 -2 4 T

13. Sketch the graph. roots multiplicity touch/ cross Power function:
roots
multiplicity
touch/
cross
Power
function
end behavior
y-intercept

14. Find the roots
y=x2+4x+1

15. Find the roots
y=x2 (x-3)2(2x+1)