Download presentation

Published byThaddeus Crackel Modified over 4 years ago

1
Bellwork Write the equation of the graph below in factored form.

2
**Bell work Identify the type of polynomial**

Identify the number of solutions Identify the type of solutions (Classify)

3
**7.5 Zeros of Polynomial Functions**

Students will be able to: Use the Rational Root Theorem and the Complex Conjugate Root Theorem to find the zeros of a polynomial function. Use the Fundamental Theorem to write a polynomial function given sufficient information about its zeros.

4
**Rules and Properties Complex Conjugate Theorem**

7.5 Zeros of Polynomial Functions Rules and Properties Complex Conjugate Theorem If P is a polynomial function with real-number coefficients and a + bi is a root (zero). then a – bi is also a root (zero).

5
**Rules and Properties Rational Root Theorem**

7.5 Zeros of Polynomial Functions Rules and Properties Rational Root Theorem P is a polynomial function with integer coefficients. If is a root of P(x) = 0, then p q p is a factor of the constant term of P. q is a factor of the leading coefficient of P.

6
Example 1 Using the Rational Root Theorem, list all the POSSIBLE roots of the polynomial below.

7
Problem 1 Using the Rational Root Theorem, list all the POSSIBLE roots of each polynomial below.

8
Problem 3 Find all roots to the polynomial equation below.

9
**7.5 Zeros of Polynomial Functions**

Problem 2 Write the equation for a third degree polynomial whose zeros are listed below and P(0) = -6 in factored & standard form.

10
**7.5 Zeros of Polynomial Functions**

Example 2 Write the equation for a third degree polynomial whose zeros are 2 and i and P(0) = 4 in both factored & standard form.

11
Problem 4 According to the Fundamental Theorem of Algebra, what can I conclude about the polynomial below? 2. Given -6 as a root of the polynomial above, find the remaining roots.

12
Homework 7.5: P even, odd, 41-43all, 47 (graphing calculator, synthetic division and factoring. You must show work. Test Tuesday- We have a no calc portion.

Similar presentations

OK

6-5 & 6-6 Finding All Roots of Polynomial Equations Warm Up: Factor each expression completely. 1. 2y 3 + 4y 2 – 30 2. 3x 4 – 6x 2 – 24 6.5.1: Use factoring.

6-5 & 6-6 Finding All Roots of Polynomial Equations Warm Up: Factor each expression completely. 1. 2y 3 + 4y 2 – 30 2. 3x 4 – 6x 2 – 24 6.5.1: Use factoring.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on networking related topics in biology Ppt on council of ministers of cambodia How to download slideshare ppt on negotiations Ppt on biodiesel in india Ppt on turbo generators Ppt on antibiotic resistance mechanism Ppt on ozone depletion in australia Ppt on reliance mutual fund Ppt on obesity prevention cdc Ppt on food chains and webs