Presentation is loading. Please wait.

Presentation is loading. Please wait.

REMAINDER THEOREM HONORS ADVANCED ALGEBRA PRESENTATION 2-7.

Published byErnest Gibson Modified over 8 years ago

Similar presentations

Presentation on theme: "REMAINDER THEOREM HONORS ADVANCED ALGEBRA PRESENTATION 2-7."— Presentation transcript:

1 REMAINDER THEOREM HONORS ADVANCED ALGEBRA PRESENTATION 2-7

2 REMAINDER THEOREM

3 YOU TRY

4 APPLICATION OF FUNDAMENTAL THEOREM OF ALGEBRA The number of complex zeros is equal to the highest degree of the polynomial. This includes zeros with a mulitplicity greater than 1. The sum of imaginary and real zeros always totals the number of complex zeros. The number of possible imaginary zeros is a multiple of 2 because imaginary zeros always come in conjugate pairs. The number of possible real zeros is equal to the number of total zeros decreased by a multiple of 2.

5 EXAMPLE

6 YOU TRY

Download ppt "REMAINDER THEOREM HONORS ADVANCED ALGEBRA PRESENTATION 2-7."

Similar presentations

Notes 6.6 Fundamental Theorem of Algebra

Notes 6.6 Fundamental Theorem of Algebra
7.4 Remainder and Factor Theorems 7.5 Roots and Zeros

7.4 Remainder and Factor Theorems 7.5 Roots and Zeros
Problem of the Day 1) I am thinking of four numbers such that

Problem of the Day 1) I am thinking of four numbers such that
Rational Root Theorem.

Rational Root Theorem.
2.7 Apply the Fundamental Theorem of Algebra day 2

2.7 Apply the Fundamental Theorem of Algebra day 2
Solving Polynomial Equations. Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!

Solving Polynomial Equations. Fundamental Theorem of Algebra Every polynomial equation of degree n has n roots!
Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.

Section 5.6 – Complex Zeros; Fundamental Theorem of Algebra Complex Numbers Standard form of a complex number is: a + bi. Every complex polynomial function.
OBJECTIVES: 1. USE THE FUNDAMENTAL THEOREM OF ALGEBRA 2. FIND COMPLEX CONJUGATE ZEROS. 3. FIND THE NUMBER OF ZEROS OF A POLYNOMIAL. 4. GIVE THE COMPLETE.

OBJECTIVES: 1. USE THE FUNDAMENTAL THEOREM OF ALGEBRA 2. FIND COMPLEX CONJUGATE ZEROS. 3. FIND THE NUMBER OF ZEROS OF A POLYNOMIAL. 4. GIVE THE COMPLETE.
Lesson 2.5 The Fundamental Theorem of Algebra. For f(x) where n > 0, there is at least one zero in the complex number system Complex → real and imaginary.

Lesson 2.5 The Fundamental Theorem of Algebra. For f(x) where n > 0, there is at least one zero in the complex number system Complex → real and imaginary.
5.7 Apply the Fundamental Theorem of Algebra

5.7 Apply the Fundamental Theorem of Algebra
Academy Algebra II/Trig 5.5: The Real Zeros of a Polynomial Functions HW: p.387 (14, 27, 30, 31, 37, 38, 46, 51)

Academy Algebra II/Trig 5.5: The Real Zeros of a Polynomial Functions HW: p.387 (14, 27, 30, 31, 37, 38, 46, 51)
Complex Zeros; Fundamental Theorem of Algebra

Complex Zeros; Fundamental Theorem of Algebra
9.9 The Fundamental Theorem of Algebra

9.9 The Fundamental Theorem of Algebra
Zeros of Polynomial Functions Section 2.5 Page 312.

Zeros of Polynomial Functions Section 2.5 Page 312.
PRE-AP PRE- CALCULUS CHAPTER 2, SECTION 5 Complex Zeros and the fundamental Theorem of Algebra.

PRE-AP PRE- CALCULUS CHAPTER 2, SECTION 5 Complex Zeros and the fundamental Theorem of Algebra.
The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.

The Rational Root Theorem.  Is a useful way to find your initial guess when you are trying to find the zeroes (roots) of the polynomial.  THIS IS JUST.
6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra
Ch 2.5: The Fundamental Theorem of Algebra

Ch 2.5: The Fundamental Theorem of Algebra
General Results for Polynomial Equations In this section, we will state five general theorems about polynomial equations, some of which we have already.

General Results for Polynomial Equations In this section, we will state five general theorems about polynomial equations, some of which we have already.
COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?

COMPLEX ZEROS: FUNDAMENTAL THEOREM OF ALGEBRA Why do we have to know imaginary numbers?

Similar presentations

Ads by Google