WARM UP
Introduction to Finding all Zeros EQ: How do we use the Fundamental Theorem of Algebra and it’s corollary to find the zeros of a polynomial? Assessment: Students will write a summary on ways to use the Fundamental Theorem of Algebra to find the zeros of a polynomial.
Key Term When a solution appears more than once this called a _______________. repeated solution ** Note: For the equation f(x) = 0, k is a repeated solution if and only if the factor (x – k) has a degree greater than 1 when f is factored.
KEY CONCEPT > one n 2 3
Find the number of solutions and zeros a. How many solutions does the equation x3 + 5x2 + 4x + 20 = 0 have? b. How many zeros does the function f (x) = x4 – 8x3 + 18x2 – 27 have?
Beginning to find all Zeros DO NOT WRITE DOWN Ex. Find all Zeros f (x) = x4 – 8x3 + 18x2 – 27
You Try It! 1. How many solutions does the equation x4 + 5x2 – 36 = 0 have? 2. How many zeros does the function f (x) = x3 + 7x2 + 8x – 16 have?
Homework Textbook - Pg. 383 #3-9