Download presentation

Presentation is loading. Please wait.

Published byEmily Ward Modified over 8 years ago

1
Solving Polynomial Equations

2
Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!

3
Rational Root Theorem Used to find possible rational roots (solutions) to a polynomial Possible Roots : P/Q Where P represents the factors of the constant of the polynomial and Q represents the factors of the leading coefficient

4
Rational Root Theorem

7
Complex Conjugates Theorem If a + bi is a zero of the polynomial, then a – bi is a zero also. Ex. Find the polynomial whose zeros include 3 and 2 – i

8
Tricks….. If all the coefficients add to equal 0, then 1 is a root. If the sum of every other coefficient adds to equal the sum of the other every other coefficient, then -1 is a root. Try factoring a cubic by grouping if possible.

9
Find all solutions and rewrite as a product of factors

10
Find all solutions and rewrite as a product of factors.

15
Basic Steps to Follow 1.Factor if possible. 2.Try tricks. 3.“p/q” it. 4.Use synthetic division. 5.At quadratic level, solve either by factoring or by using the quadratic formula.

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google