1 / 17

The Polynomial Project

The Polynomial Project. Math Project. Task 1. Find the polynomial that gives the following values ➪. p(x)= A+b (x-x 0 )+C(x-x 0 )(x-x 1 )+D(x-x 0 )(x-x 1 )(x-x 2 ). a . Write the system of equations in A,B,C, and D that you can use to find the desired polynomial.

fergus
Download Presentation

The Polynomial Project

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. ThePolynomialProject Math Project

  2. Task 1 • Find the polynomial that gives the following values ➪

  3. p(x)=A+b(x-x0)+C(x-x0)(x-x1)+D(x-x0)(x-x1)(x-x2) • a. Write the system of equations in A,B,C, and D that you can use to find the desired polynomial.

  4. p(x)=A+b(x-x0)+C(x-x0)(x-x1)+D(x-x0)(x-x1)(x-x2) • b. Solve the system obtained from part a.

  5. p(x)=A+b(x-x0)+C(x-x0)(x-x1)+D(x-x0)(x-x1)(x-x2) • c. Find the polynomial that represents the four ordered pairs.

  6. p(x)=A+b(x-x0)+C(x-x0)(x-x1)+D(x-x0)(x-x1)(x-x2)+E(x-x0)(x-x1)(x-x2)(x-x3)p(x)=A+b(x-x0)+C(x-x0)(x-x1)+D(x-x0)(x-x1)(x-x2)+E(x-x0)(x-x1)(x-x2)(x-x3) • d. Write the general form of the polynomial of degree 4 for 5 pairs of number.

  7. Task 2 • Find the zero of the polynomial found in task 1➪

  8. a. Show that the 3 zeros of the polynomial found in task 1 are: • #First zero lies between -2 and -1 • #second zero lies between 0 and1 • #third zero lies between 3 and 4

  9. #First zero lies between -2 and -1 • #second zero lies between 0 and1 • #third zero lies between 3 and 4

  10. b. Find to the nearest tenth the third zero using the Bisection Method for Approximating Real Zeros. #There is a zero between x=3.25 , x=3.50

  11. Task 3 • a.Choose any value for the width of the walkway w that is less than 6 ft. w w w x w 2x W=4

  12. b.Write an expression for the area of the garden and walk. 4 x x+8 4 4 2x 4 2x+8

  13. ( 2x + 8 )( x + 8 ) 2x2 + 24x + 64 ( 2x + 8 )( x + 8 ) – ( 2x )( x ) 2x2 + 24x + 64 - 2x2 24x + 64

  14. Task 4 • a.Use a graphing program to graph the polynomial found in task 1

  15. b. Make a PowerPoint to present your project and upload it on a wiki. • http://www.polynomialproject.wikispaces.com

  16. Done By ;* • Alia Ahmed Almulla • ShammaAlshamsi • 11.53

More Related