How many solutions does the equations have? Starter – Day 3 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

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

Find the roots y=x2+3x+2

Find the roots y=4x2-25

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

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

Graph y = x3 + 2

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

Find the solutions: p3 + 6p = 0

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

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

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

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

Find the roots y=x2+4x+1

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