Download presentation

Presentation is loading. Please wait.

Published byAmina Wassell Modified over 2 years ago

1
Warm Up Divide the complex number 3 – 2i 1 + i Multiply the complex number (3 -2i)(1+i)

8
Math IV Lesson11 Complex numbers 2.5 Essential Question: Standard: MM4A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, trigonometric, and piecewise.

9
The degree of a polynomial with one variable is the largest exponent of that variable. Root: where the polynomial is equal to zero. A quadratic factor with no real zeros is said to be prime.

10
The degree of a polynomial with one variable is the largest exponent of that variable.

11
Roots A root is where the polynomial is equal to zero So, a polynomial of degree 3 will have 3 roots (places where the polynomial is equal to zero). A polynomial of degree 4 will have 4 roots. And so on.

12
Example: what are the roots of x 2 - 9? x 2 - 9 has a degree of 2, so there will be 2 roots. Let us solve it. We want it to be equal to zero: x 2 - 9 = 0 First move the -9 to the other side: x 2 = +9 Then take the square root of both sides: x = ±3 So the roots are -3 and +3

13
A polynomial can be rewritten like this: The factors like (x-r 1 ) are called Linear Factors, because they make a line when you plot them.

14
Polynomials can have complex roots

15
Complex roots always come in pairs Example: x 2 -x+1 Had these roots: 0.5 - 0.866iand0.5 + 0.866i You can either have: No complex roots 2complex roots 4 complex roots 6 complex roots …

16
Factoring a polynomial

17
Use the quadratic formula to solve find the zeros of F(x) = x 2 -12x + 26 QUADRATIC FORMULA

18
Homework P144 # 1-4, 11-19 odd

Similar presentations

Presentation is loading. Please wait....

OK

6.6 The Fundamental Theorem of Algebra

6.6 The Fundamental Theorem of Algebra

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on holographic technology stocks Ppt on next generation 2-stroke engine problems Download ppt on uses of maths in daily life Ppt on fast food in hindi Ppt on video teleconferencing companies Ppt on main festivals of india Ppt on zener diode basics Ppt on applied operational research Ppt on hindu religion beliefs Ppt on energy generation from busy road